If the probability of p (m and n) = 0.2 p (m) = 0.4 and m and independent events, what is p (n) ?

Question

Mathematics

Martin Gentry

7 March, 13:08

If the probability of p (m and n) = 0.2 p (m) = 0.4 and m and independent events, what is p (n) ?

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Answers (1)

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Kianna Russell · Answer 1

P (n) = 0.5

Step-by-step explanation:

For two events which are independent, we use the multiplication rule which states P (A and B) = P (A) * P (B). Substitute P (m) = 0.4 and P (m and n) = 0.2 into this formula.

P (m and n) = P (m) * P (n)

0.2 = 0.4*P (n)

Divide by 0.4 on both sides.

0.2 / 0.4 = P (n)

0.5 = P (n)