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.

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).

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get