Question

Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the nearest tenth, if necessary. 0.2 0.3 0.4 0.5

Answer 1

0.4

Explanation:

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Answer 2

0.4

Explanation:

The question is not complete, the correct question is:

Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary

Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).

Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:

P(X and Y) = P(X) × P(Y)

Making P(X) the subject of formula by dividing through by P(Y) gives:

`P(X)=(P(X\ and\ Y))/(P(Y)) \\Substituting\ values:\\P(X)=((1)/(3) )/((5)/(6) )=(1)/(3) *(6)/(5)=(2)/(5)=0.4\\ P(X)=0.4`