Two fair six-sided dice are rolled. Find the conditional probability of the event that the sum is six, given that the first die is odd. Are the two events independent?

Q: A fair coin is tossed three times. What is the probability that all three tosses are tails? Write…

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Q: You throw two six-sided dice.  Let event A represent the event that the sum of the two dice equals…

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Q: Two dice are rolled. Find the probability of the event described.   The score on the dice is no more…

A: When 2 dice are rolled thenno. of outcomes is n(s) = 62 = 36

Q: Suppose you roll a fair die twice. Find the probability that the sum of the numbers is 11 Find the…

A: When a die is rolled twice then there are total 6×6=36 outcomes.  Among those 36 outcomes (5,6) and…

Q: you roll a six-sided die.what is the probability that it is an even number or less than five

A: When a six-sided die is rolled the sample space is S={1,2,3,4,5,6} n(S)=6 P(even number or less than…

Q: You are rollling two dice and the results are added. Find Probability of: Sum not equal to 8…

A: rollling two dice  [(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4),…

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

A: From the provided information, A pair of fair dice be tossed. Total outcomes = 36

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

A: Answer - Two fair die are thrown (first red and second green)               Sample space (S) =…

Q: Determine whether the scenario involves independent or dependent events. Then find the probability…

A: We are given that there are eight boys and five girls in a class. The teacher randomly selects three…

Q: An experiment consist of rolling two fair dice and adding the dots on the two sides facing up. Find…

A: Two fair dice rolled and adding the dots on the two sides facing up.The number of possible outcomes,…

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

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Q: Use the formula for the probability of the complement of an event.A pair of dice is rolled 3 times.…

A: The sample space for rolling a pair of dice is, The number of favorable outcomes is, sum of 5 on…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.