Question

a ball is randomly drawn from a bag with 6 green tennis balls, 18 red tennis balls, 12 red baseballs, and 4 blue baseballs. event a: red event b: baseball 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 balls

Total = 6 + 18 + 12 + 4 = 40

Step2: Find P(A) (red balls)

Red balls = 18 + 12 = 30, so $P(A)=\frac{30}{40}=0.75$

Step3: Find P(B) (baseballs)

Baseballs = 12 + 4 = 16, so $P(B)=\frac{16}{40}=0.4$

Step4: Find P(A and B) (red baseballs)

Red baseballs = 12, so $P(A\cap B)=\frac{12}{40}=0.3$

Step5: Compute P(A or B)

$P(A\cup B)=0.75 + 0.4 - 0.3 = 0.85$

Answer:

0.85