Two dice are rolled. What is the probability of getting No Doubles at all?

Q: What is the probability of getting a total of 7 Or 11 when a pair of dice are tossed?

A: Probability of an event is computed by taking the ratio of number of favourable cases for the event…

Q: If you toss a fair coin six times, what is the probability of getting all heads?

A: Concept: The number of ways of achieving success that is the total number of possible outcomes is…

Q: What is the probability of getting two tail if one dice is tossed?

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Q: If we roll three six-sixed dice, what's the probability that their sum is even?

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Q: If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability…

A: Given that Captain shoots first  which means , Probability that Captain hits the pirate ship = 1/2…

Q: If you flip a coin four times, what is the probability of getting at least a head and at least a…

A: probability of getting at least a head and at least a tail =1- Probability of having no head and…

Q: Out of a deck of cards, what is the probability of getting a king of anyhting but hearts?

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds,…

Q: If three balanced dice are rolled, whats the probability that all three dice will be the same?

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Q: In a single throw of two dice, what is the probability of getting the same numbers on both dice?

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Q: Two dice are rolled. What is the probability of getting No Doubles at all?

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Q: If you toss a fair coin seven times, what is the probability of getting all tails?

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Q: What is the probability of rolling seven dice and getting at least one matched pair?

A: From the provided information, Seven dice are rolled. The total outcomes rolling 7 dice = 67 The…

Q: Using a standard six sided dice, Janice rolled either a 2 or a 5 on the last 6 rolls of the dice.…

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Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

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Q: Two dice are tossed . What is the probability of not getting doubles?

A: Total number of possible outcomes when we roll a dice is 6.So, total number of possible outcomes…

Q: A single coin is tossed. What is the probability of tossing a head?

A: When a single coin is tossed then the possible outcomes are head and tail So total 2 outcomes And…

Q: Two ordinary six-sided dice are rolled. What is the probability of getting a sum of 8?

A: Since. it is given that two six-sided dice are rolled, Our Aim is to tellwhat is the probability of…

Q: When rolling two dice, what sum on the dice is most probable?  What is the probability?

A: Sample set for rolling two dice S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)       (2,1) (2,2) (2,3)…

Q: If a die is tossed twice, what is the probability of rolling a 2 followed by a 3?

A: If a die is tossed then probability of getting 2 in a trial = 1/6 and probability of getting 3 in…

Q: Suppose that we roll two dice, what is the probability of getting a sum of 6 or 8?

A: In rolling two dice, the possible outcomes are…

Q: If you roll two dice, what is the probability of an even sum or a sum of 8 or more?

A: The outcomes for each of the die is {1, 2, 3, 4, 5, 6}.

Q: Two six sided dice are rolled at once. What is the probability of rolling a sum of 9

A: Note that the favorable cases to get a sum of 9 are 3,6,6,3,4,5,5,4. Consider the following events,…

Q: If two coins are tossed, what is the probability of getting both heads

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Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

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Q: If two dice are tossed, what is the probability of rolling a sum of (a) 7? (b) 9?

A: Given: Two dice are tossed. To Find: The probability of rolling a sum of (a) 7? (b) 9?

Q: In the game of craps using two dice, a person wins on the first roll if a 2, 3, or 12 is tossed on…

A: In a roll of two dice, the person wins on the first roll if a 2, 3, or 12. Total possible outcomes…

Q: Two standard dice are rolled. What is the probability of rolling doubles (both the same number)?

A: Given that  Total number of outcomes=36 S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: If two dice are thrown, what is the probability of throwing a total of 5?

A: If dice is thrown then possible sample (S) : S = { (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)…

Q: If the odds in favor of Chris winning the election are 6:5, then what is the probability that a)…

A: Since odd in favour = (number of favourable outcomes)/(number of unfavorable outcomes)

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: A fair coin is flipped twice. What is the probability of showing heads on both flips?

A: Given: A fair coin is flipped twice. Objective of this question is to find the probability of…

Q: When a pair of dice is thrown 20 times, what is the probability of getting doubles at least once?

A: There are 6 sides in a die. So, if a die is thrown then total number of outcomes = 6 So, total…

Q: What is the probability of getting white?

A: Given: The square box containing 12 small squares. Number of white squares =7 Number of yellow…

Q: If you flip three fair coins, what is the probability that you'll get all three heads?

A: Given that,Three fair coins are tossed.

Q: A 4-sided fair die and a 12-sided fair die are rolled. What is the probability of showing a 3 on…

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Q: If three coins are​ flipped, what is the probability of obtaining at least one head​?

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Q: What is the probability that we draw a diamond, given that the card we draw is red?

A: Given that: A deck of cards.

Q: Two fair coins are tossed. What is the probability of getting one heads and one tails?

A: Given We konw that the coin has two sides head (H) and tail (T)

Q: Two dice are rolled, what is the probability that one die is a 2 or a 4?

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Q: Two coins are tossed, what is the probability that exactly one is heads ?

A: if two coins are then the possible outcomes areS=HH,HT,TH,TT

Q: Two dice are rolled. what is the probability of getting no doubles at all?

A: In tossing two die 1. There are six doubles Eg- {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} 2. Except…

Q: We roll a pair of dice three times. What is the probability of rolling an even total exactly once?

A: The probability of rolling an even total exactly once is 0.5.The probability of rolling an even…

Q: Two dice are rolled, what is the probability that one die is a 2 or a double?

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Q: What is the probability of rolling a two on the first die and a three on the second die?

A: Two dies are rolled.

Q: if you roll two fair six-sided dice, what is the probability that both dice show an odd number?

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Q: If two events are complimentary what is the probability of P(A and B) ?

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Q: From a standard deck, what is the probability of picking either a jack or a spade?

A: Total number of card in a deck is 52. Number of spades in total cards is 13. Number of jacks in…

Q: In rolling 2 dice, what is the probability of an event of getting a sum of 8 and 9?

A: We have given that  Rolling two dice sample space contains  62 = 36  The number of favorable cases…

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.