If two dice are tossed, find the probability that the sum is greater than 5.

Q: Assuming the outcomes to be equally likely, find the probability that first answer is "True." The…

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Q: Express the answers as integers or fractions in simplest form. If a die is rolled one time, find…

A: Probability:   The ratio of the number of favorable outcomes to certain event and total number of…

Q: A die is thrown twice. What is the probability that the sum of the number of dots shown is 3 or 11?

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Q: A die is rolled twice. What is the probability of showing a 6 on both rolls?

A: A die is rolled twice. What is the probability of showing a 6 on both rolls?

Q: We roll Two dice and report the sum of the spots on the up faces.  What is the probability of…

A: From the given information, two dice are rolled. The total sample space is,

Q: If a single card is selected from a deck, find the probability that the card is either a jack or a…

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Q: Two standard dice are rolled. Find the probability that the numbers rolled equal 6.

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Q: If a single 8 sided die is tossed once, find the probability of rolling a 5.

A: Solution: Suppose eight sided dice is rolled once. Then, the sample space is Number of elements in…

Q: When 2 dice are rolled, find the probability of getting a sum less than 5 or greater than 8

A: When a die is rolled, possible outcomes are 1 , 2 , 3 , 4 , 5, 6  we roll 2 dice

Q: If a die is rolled one time, find the probability of getting a number greater than 8. 1 8

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Q: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

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Q: If two dice are rolled one time, find the probability of getting a sum of 6

A: Given information: Number of dices rolled = 2 The probability of getting a sum of 6 has to be…

Q: Two dice are rolled simultaneously, find the probability that the sum is equal to 7

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Q: Two dice are rolled, the probability of getting the sum is equal to 3 is

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Q: Find the probability that the SUM is as stated when a pair of dice is rolled. a)  8 or 10   b)…

A: Total number of sample is a) A={(2,6),(6,2), (3,5),(5,3), (4,4),(4,6), (6,4),(5, 5)}

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: Sample space for a die rolled twice is given by,…

Q: If a die is rolled one time, find the probability of getting a 5 or an odd number.

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Q: If you roll three six-sided dice, find the probability that at least one of the dice has a three…

A: If three dice are rolled, then number of possible outcomes of sample space is 6×6×6=216,  Sample…

Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Given that two dice are rolled. Then the total number of possible outcomes is 36. Let, A = The event…

Q: Two pair of dice are rolled. What is the probability that the sum of their faces will be equal to…

A: Given: Two pair of dice are rolled. To find : The probability that the sum of their faces will be…

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a…

A: When a dice is rolled then there are 6 outcomes.  So the probability of getting a 6 on the first…

Q: Two dice are rolled simultaneously, find the probability that the sum is equal to 1

A: We have to find sum

Q: If two dice are rolled, find the probability that the sum of the die is 8. Probability that sum…

A: (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , ................... , (6,5) , (6,6)…

Q: If a single 10-sider die is tossed once, find the probability of rolling a 8 or a 9. The probability…

A: The total number on a 10 sided die = 10 Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Q: If two dice are rolled one time, find the probability of getting a sum of 9. 1/9 O 2/9 О 1/6 О 18

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Q: If the probability that you get a grade of "A" in this class is 90%, find the probability that you…

A: Given information Probability that you get a grade of "A" in this class p = 0.90

Q: If two dice are rolled, find the probability that the sum of the die is 3,

A: Given,  If two dice are rolled, find the probability that the sum of the die is 3.

Q: A die is rolled twice. What is the probability of showing a 2 on the first roll and an even number…

A: GivenA die is rolled twice

Q: If two fair dice are rolled, find the probability that the result is either sum of 8 or sum is…

A: If two dice are rolled then the sample space obtained is as follows: Ω={1,1,1,2,1,3,1,4,1,5,1,6,…

Q: If two points are randomly chosen on the sides of the unit square, find the probability that the two…

A: Let's just take a random point on any 1 side of the square. Let this side be side a. Given that the…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9​, given that the…

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Q: If two dice are rolled one time, find the probability of getting a sum less than 9.5

A: We want to find the probability

Q: If two dice are rolled, find the probability that neither die shows a 5 on it. Probability

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Q: A die is rolled twice. What is the probability of showing a 3 on the first roll and an even number…

A:

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A: When we roll a die twice, we get the following sample space as, S= {(1,1), (1,2),....(1,6),…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​, given that the…

A: Given data: The numbers of dice rolled are n=2. The expression for the total number of sample space…

Q: If a single fair die is​ rolled, find the probability of a 5 given that the number rolled is odd.

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Q: When 2 dice are rolled, find the probability of getting a sum less than 4 or greater than 8

A: Let E be an event. Then the Probability of E =n(E)n(S) where, n(S)= number of points in sample…

Q: Two dice are thrown 5 times. If getting a double is a success, find the probability that getting the…

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Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Obtain the probability of getting a sum of two numbers is 6.   The probability of getting a sum of…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: If two dice are rolled , find the probability that neither die shows a 2 on it . probability =

A: When two dice are rolled the total number of possible outcomes are 36.Here the question is to find…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9,given that the sum…

A: Given: Two fair dice are rolled. The objective is to find the probability that the sum of the dice…

Q: If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are…

A: The formula of the probability is, p=favrable outcomestotal outcomes As we know that there are 4…

Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Two dice are rolled and someone indicates that the two numbers that come up are different. Need to…

Q: If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.

A: We have a 12 sided fair die. It is rolled twice

Q: If the probability of getting rain tomorrow is 0.35, find the probability that it will not rain…

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Q: If a single 10-sided die is tossed once, find the probability of rolling a 8 or a 3. The probability…

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Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9 given that the sum…

A: Given that the sum is greater than 6.  So the sample space for this is: (1,6) , (2,5) , (2,6) ,…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.