Events A and B are independent. Find the indicated probability. Show your work!

a. P (A) = 0.3, P (B) = 0.5, P (A and B) = ?

b. P (A) = ?, P (B) = 0.9, P (A and B) = 0.45

Question

Siena Benson

Mathematics

15 September, 13:11

Events A and B are independent. Find the indicated probability. Show your work!

a. P (A) = 0.3, P (B) = 0.5, P (A and B) = ?

b. P (A) = ?, P (B) = 0.9, P (A and B) = 0.45

+5

Answers (1)

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Layne Harrington · Answer 1

P (A) = 0.3

P (B) = 0.5

P (A and B) = 0.3 * 0.5

P (A and B) = 0.15

P (A) = x

P (B) = 0.9

P (A and B) = x · 0.9

0.45 = 0.9x

0.9 0.9

0.5 = x

P (A) = 0.5

Events A and B are independent. Find the indicated probability. Show your work!a. P (A) = 0.3, P (B) = 0.5, P (A and B) = ?b. P (A) = ?, P (B) = 0.9, P (A and B) = 0.45

Events A and B are independent. Find the indicated probability. Show your work!

a. P (A) = 0.3, P (B) = 0.5, P (A and B) = ?

b. P (A) = ?, P (B) = 0.9, P (A and B) = 0.45