A = A die is rolled and shows an even number B = A die is rolled and shows a 4, 5, or 6 C= A die is rolled and shows a 1 D=A coin is flipped and shows Heads State the following expressions in words and calculate the probabilities: 5. Р(AnD) 6. Р(ВJA) With the same event definitions given above, state the following as a probability expression using symbols such as P(B U C) and calculate the probability. 7. The probability that the number on a die is a four given that the roll was even.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Questions 6 -8 use the following definitions for events:
A = A die is rolled and shows an even number
B = A die is rolled and shows a 4, 5, or 6
C= A die is rolled and shows a 1
D= A coin is flipped and shows Heads
State the following expressions in words and calculate the probabilities:
5. Р(AND)
6. Р(BJA)
With the same event definitions given above, state the following as a probability expression using
symbols such as P(B U C) and calculate the probability.
7. The probability that the number on a die is a four given that the roll was even.
8. Using only the events above, find the probability that the die is rolled and shows a 2 or 3.
Transcribed Image Text:Questions 6 -8 use the following definitions for events: A = A die is rolled and shows an even number B = A die is rolled and shows a 4, 5, or 6 C= A die is rolled and shows a 1 D= A coin is flipped and shows Heads State the following expressions in words and calculate the probabilities: 5. Р(AND) 6. Р(BJA) With the same event definitions given above, state the following as a probability expression using symbols such as P(B U C) and calculate the probability. 7. The probability that the number on a die is a four given that the roll was even. 8. Using only the events above, find the probability that the die is rolled and shows a 2 or 3.
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