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

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

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: Two dice are rolled four times. Calculate the probability of doubles four times in a row?

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Q: determine the odds in favor of rolling "Snake Eyes" on the first roll of a pair of dice

A: the odds in favor of rolling "Snake Eyes" on the first roll of a pair of dice

Q: Two coins are tossed simultaneously. What is the probability of tossing two heads?

A: When a coin is tossed there are two possible outcomes heads (H) and tails (T). When three coins are…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number…

A: When two dice are rolled the no of possible outcomes is n(s)=62 =36 Let E be the event that the 1st…

Q: Two dice are rolled. Determine the probability of rolling a sum of 6 or doubles.

A: The sample space of the 36 possible outcomes for a pair of fair dice is,

Q: Two fair dice are thrown.What is the probability that the score on the first die is 6 or the score…

A: # Given two  fair dice are thrown   then        Sample space (S) = {(1,1), (1,2), (1,3), (1,4),…

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

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Q: You roll a single dice two times. What is the probability of rolling zero even numbers?

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Q: Roll a pair of dice. What is the probability of rolling either a total less than four or a total…

A: Roll a pair of dice  Total possible outcomes=6×6=36 Sample space =S…

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

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Q: When rolling a pair of dice, what is the probability of getting a shm of 5?

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Q: Two dice are thrown. Determine the probability that a score of 5 or 9 is obtained.

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Q: An office has 6 men and 12 women employees.  Three employees are picked at random for a trip to…

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Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

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: I roll twelve fair six-sided dice. What is the probability that I roll each number twice?

A: The objective of this question is to find the probability of rolling each number from 1 to 6 twice…

Q: You toss twice coins. What is the probability that both land Tails up?

A: Given, Possible outomes => [h,h] [h,h] [t,t] [t,h]Favourable outcomes =[t,t] = 1number of…

Q: What is the probability of rolling a die and rolling a 2 or a 3 or a 4?

A: The probability of an event can be defined as follows:

Q: determine the odds against of rolling "snake eyes" on the first roll of a pair of dice.

A: Snake eyes: Rolling two dice and getting 1 on both the die is considered as Snake eyes. Sample…

Q: If two dice are rolled one time, what is the probability of getting: A sum of 11 or 4

A: Probability: probability is a mathematical tool used to study randomness. It deals with the chance…

Q: you deal a hand of five cards from a regular deck of playing cards. find the probability of dealing…

A: In a standard deck of cards, there is a total of 52 cards. There are four suits: Spades, Diamonds,…

Q: Jack rolls 5 fair six-sided dice. What is the probability that at least two dice show the same…

A: Jack rolls 5 fair six-sided dice. The number of possible outcomes when a single die is rolled is 6.…

Q: Two six sided dice are rolled and the numbers are observed. What is the probability that the two…

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Q: A box contains 7 red, 3 green, and 2 yellow balls. If one ball is drawn from the box, then what is…

A: Given,no.of red balls=7no.of green balls=3no.of yellow balls=2Total no.of balls=12