Let a pair of fair dice be tossed. If the sum of obtained values is 6 the probability that one of the dice shows 2 is:

Q: if you roll a pair of fair dice, what is the probability of getting each of the following 7 11 2 or…

A: The set of all possible outcomes of a probability experiment is called sample space of the…

Q: In the tossing of two dice simulatneously; the probability of getting a total of 7 on the upper…

A:

Q: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

A: Given that  A pair of dice is tossed  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: (i) If 3 dice are rolled, how many "6s" do you get on average? (ii) How many times on average do you…

A: Given: Number of dice rolls (n) = 3 Probability of 6 (p) = 16 Let X denote number of times 6 comes…

Q: You randomly draw twice from this deck of cards FBCCF What is the probability of drawing a B, then…

A: Given,

Q: Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 9,…

A: Conditional Probability.

Q: If two fair dice are rolled, find the probabilities of the following results A double, given that…

A: Consider the given information as If two fair dice are rolled, find the probabilities of the…

Q: If you roll a pair of fair standard 6-sided dice (each die has its sides numbered from 1 to 6), what…

A: GivenThe number of possibilities when we roll a six sided dice =6  The number of possibilities when…

Q: In a single throw of two fair dice, find the probability that the product of the numbers on the dice…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: If the odds in favor of Chris winning the election are 5:4, then what is the probability th a) Chris…

A: The odds in favour of Chris winning the election are 5:4.To find the probability that,a)Chris…

Q: Consider a roll of two 4-sided dice. A. How many members will the outcome set have? B. If the roll…

A: In rolling of two 4-sided die, the possible outcomes we…

Q: What is the probability that at least one of a pair of dice is smaller than 4, given that the sum of…

A: Given, the sum of the pair of dice is 8,9,10,11,12. Now for sum to be equal to 8, the outcomes will…

Q: In rolling the dice two times, the probability that the sum of the two appearing numbers is greater…

A: to find the probability of getting sum greater than 12 on rolling the dice two times

Q: If two dice are rolled one time, find the probability of getting a sum less than 8. O 9/12 10/12…

A: According to the given information, we have Two dice are rolled.

Q: A pair of 6-sided dice are rolled. (a) What's the probability that neither die is a 2 if their sum…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: A pair of dice is thrown. If it s known that one die shows a 4, what is the probability that (a)…

A:

Q: The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled.…

A: Solution: Suppose two dice are rolled. Then, the sample space is Number of elements in the sample…

Q: If 100 fair dice are rolled, approximate the probability that the sum of the values obtained (which…

A:

Q: The probability that a student owns a CD player is 3/5. If eight students are selected at random,…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: A group of students is surveyed and 55% of the group is from Midland and 40% of the group like…

A: According to the provided data, the probabilities are;

Q: A pair of dice is thrown. if it is known that one dice shows a 4, what is the probability that the…

A: The number of dice thrown are 2.

Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

A:

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

A:

Q: A pair of fair dice is tossed. Find the probability of getting​ (a) a total of 11​; ​(b) at most a…

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

Q: If six dice are rolled, then the probability that all show different faces is 6! (iii: 66 (ii) (iv)…

A: HERE 6 DICES ARE ROLLED  NOW HERE REQUIRED PROBABILITY IS THAT ALL FACES ARE DIFFERENT EACH DICE HAS…

Q: Show that if we are given the odds against an event W as a:b, the probability of not W is given by…

A: The odds against an event ‘W’ as a:b or a/b. Odds against A = P(AC)/ P(A) The formula for the odds…

Q: What is the probability that at least one dice will different from the other two? Leave your answer…

A: It is assumed that three dice are rolled. The total number of outcomes in the sample space be n(S) =…

Q: If two fair dice are rolled, find the probability of the following result. A double, given that the…

A: General formula of probability is , Probability =Number of favorable outcomes Total outcomes

Q: If two cards are drawn Without replacement from a deck, find the probability that the second card is…

A:

Q: Find the probability that in five tosses of a dice a 6 appears (a) at no time, (b) once, (c) twice,…

A:

Q: Suppose we roll a fair 6-sided dice once. a) Find the probability of rolling a 3 b) Find the…

A:

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner. suppose…

A: Jack n Poy is a game performed by two players. Here, P(winning one time) = 1/2.

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Define the events: A : Number on red die is 5B : Sum of numbers on both die is 9.

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A:

Q: A coin is tossed six times. What is the probability that the outcome is six heads, given that…

A: When a coin is tossed probability of getting heads is 1/2 =0.5 Here coin is tossed 6 times .n=6…

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A:

Q: A pair of dice is thrown, If it is known that one die shows a 4, what is the probability that:…

A:

Q: A pair of fair four-sided dice is thrown. The probability that If the two numbers appearing are…

A: From the given information, pair of four-sided dice are rolled.   The total sample space is,

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: Suppose there are two dice, one red and one blue, having the probabilities in the table. If both…

A:

Q: Suppose two dice are rolled together. What is the probability that the two numbers showing up are…

A:

Q: suppose you roll a pair of fair 6 sided dices what is the probability that one of the rolls is an…

A: If two 6 sided dice are rolled then sample space is given by-…

Q: Two fair dice are rolled at once. Find the conditional probability that the sum is 6, given that the…

A: Concept of conditional probability:For any two events A and B with P(B) >0, the formula for…

Q: A pair of dice is tossed. If the numbers appearing are different, find the probability that sum is…

A: Possible outcomes when we toss two coins are,

Q: The yellow and green dice are tossed together. If A is the event that a 2 is shown on the yellow die…

A:

Q: Find the indicated probability:   Two 6-sided dice are rolled. What is the probability that the sum…

A: We are given, 2 six-sided die rolled. So we first need to write down the possible outcomes from this…

Q: A class contains 10 men and 20 women of which half the men and half the women have brown eyes. Find…

A: Given,no.of mens=10no.of womens=20no.of mens have brown eyes=5no.of womens have brown eyes=10

Q: Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12,…

A: For the event:  the green one is either 1 or 5 and the yellow one is 1: the outcomes…

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting two…

A: In a standard deck of cards, there are 52 cards.  From these 52 cards, we can pick 5 cards in 52C5…

Q: If two fair dice are rolled, find the probabilities of the following results.A sum of 8, given that…

A: Consider the following events, A=the sum of outcomes is greater than 7B=the sum of outcomes is equal…

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.