Question

a sock is randomly drawn from a drawer with 8 long white socks, 6 long black, 4 short white, and 10 short black. event a: long event b: black p(a or b) = ? hint: p(a or b) = p(a) + p(b) - p(a and b) round your answer to the nearest hundredth.

Explanation:

Step1: Calculate total socks

Total = 8 + 6 + 4 + 10 = 28

Step2: Find P(A)

P(A) = (long socks)/total = (8+6)/28 = 14/28 = 0.5

Step3: Find P(B)

P(B) = (black socks)/total = (6+10)/28 = 16/28 ≈ 0.5714

Step4: Find P(A and B)

P(A and B) = (long black socks)/total = 6/28 ≈ 0.2143

Step5: Compute P(A or B)

P(A or B) = 0.5 + 0.5714 - 0.2143 ≈ 0.8571 ≈ 0.86

Answer:

0.86