An experiment consists of tossing a regular die with faces numbered 1 through 6.

Question

An experiment consists of tossing a regular die with faces numbered 1 through 6. Use the following events to determine the probabilities in the following: E: Obtaining an even number F: Obtaining a prime number G: Obtaining an odd number H: Obtaining a number greater than 4 A. P (F G) and P (F) + P (G) (All supporting written work for this portion of the problem should be shown on your paper, including your answer. Failure to do will cause a point(s) reduction in your grade. You are not allowed to enter your answer for this portion of the problem into Connect.) B. P (E H) and P (E) + P (H) (All supporting written work for this portion of the problem should be shown on your paper, including your answer. Failure to do will cause a point(s) reduction in your grade. You are not allowed to enter your answer for this portion of the problem into Connect.) C. Which pairs, if any, of the probabilities in parts A and B are equal? If neither of the pairs of probabilities is equal, then state that “Neither of the pairs of probabilities is equal.” AND provide an explanation.

Explanation / Answer

P(E) = 3/6 = 1/2 = 0.5

P(F) = 3/6 = 1/2 = 0.5

P(G) = 3/6 = 1/2 = 0.5

P(H) = 2/6 = 1/3 = 0.33

A) P(F and G) = 3/6 = 0.5

P(F U G) = P(F ) + P(G) - P(F and G)

= 0.5 + 0.5 - 0.5 = 0.5

P(F ) + P(G ) = 0.5 + 0.5 = 1

B) P(E and H) = 1/6 = 0.17

P(E U H) = P(E) + P(H) - P(E and H)

= 0.5 + 0.33 - 0.17 = 0.66

P(E ) + P(H) = 0.5 + 0.33 = 0.83

C) Neither of the pairs of probabilities are equal.

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