Question

a shirt is randomly drawn from a bag with 14 small shirts, 19 medium shirts, and 7 large shirts. event a: small event b: large p(a or b) = ? hint: p(a or b) = p(a) + p(b) round your answer to the nearest hundredth.

Explanation:

Step1: Calculate total number of shirts

Total shirts = 14 (small) + 19 (medium) + 7 (large) = 40

Step2: Calculate P(A)

P(A) = Number of small shirts / Total shirts = $\frac{14}{40}$

Step3: Calculate P(B)

P(B) = Number of large shirts / Total shirts = $\frac{7}{40}$

Step4: Calculate P(A or B)

Using the hint \( P(A \text{ or } B) = P(A) + P(B) \), we substitute the values:
\( P(A \text{ or } B) = \frac{14}{40} + \frac{7}{40} = \frac{21}{40} = 0.525 \)

Step5: Round to nearest hundredth

Rounding 0.525 to the nearest hundredth gives 0.53

Answer:

0.53