You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three. What does P (E|M) mean in words? a. The probability of landing on an odd number given that the number is a multiple of three. b. The probability of landing on a multiple of three given that the number is an even number. c. The probability of landing on an even number given that the number is a multiple of three. d. The probability of landing on an even number given that the number is a multiple of two. e. The probability of landing on a multiple of three given that the number is an odd number.

Question

Laurel

Mathematics

12 March, 05:24

You are rolling a fair, six-sided number cube. Let E = the event that it lands on an even number. Let M = the event that it lands on a multiple of three. What does P (E|M) mean in words? a. The probability of landing on an odd number given that the number is a multiple of three. b. The probability of landing on a multiple of three given that the number is an even number. c. The probability of landing on an even number given that the number is a multiple of three. d. The probability of landing on an even number given that the number is a multiple of two. e. The probability of landing on a multiple of three given that the number is an odd number.

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Answers (1)

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Alyson Pollard · Answer 1

The correct answer is option c. "The probability of landing on an even number given that the number is a multiple of three".

Step-by-step explanation:

In probability, the symbol "P (X | Y) " alludes to a conditional probability, which refers to the expected probability of "X" given that "Y" has been met. In this case, in a dice rolling scenario "P (E | M) " refers to the probability of "E" given that "M" has been met. Therefore, "P (E | M) " means in words: the probability (P) of landing on an even number (E) given that the number is a multiple of three (M).