Question

What is the probability that a student selected at random takes math or drama? (round answer to 3 decimal places)

Answer 1

Distribution table for the question is attached below :

Answer:

0.533

Step-by-step explanation:

Let :

M = math

D = Drama

Probability that a randomly chosen student takes math or drama ; P(M u D)

Recall:

P(A u B) = p(A) + p(B) - p(A n B)

P(M u D) =  p(M) + p(D) - p(M n D)

Probability = required outcome / Total possible outcomes

From the table :

P(M) = 119 / 302

P(D) = 67 / 302

P(M n D) = 25 / 302

Therefore,

P(M u D) = 119/302 + 67/302 - 25/302

P(M u D) = (119 + 67 - 25) / 302

P(M u D) = 161 / 302

P(M u D) = 0.5331125

P(M u D) = 0.533 ( 3 decimal places)