Question

Juan manages a restaurant which is currently hiring. On Tuesday he interviewed 3 waiters, 2 chefs, and 4 dishwashers. On Wednesday he interviewed 4 waiters, 4 chefs, and 4 dishwashers. Each day one woman applied for a job while the rest were men. What is the probability that the woman shared the same profession?

Answer 1

Probability helps us to know the chances of an event occurring. The probability that the woman shared the same profession is 0.334.

What is Probability?

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

The probability of both being a waiter is,

P(Both Waiter) = (3/9)×(4/12) = 1/9

The probability of both being chefs,

P(Both Chef) = (2/9)×(4/12) = 2/27

The probability of both being a Dishwashers,

P(Both Dishwasher) = (4/9)×(4/12) = 4/27

Thus, the probability that the woman shared the same profession is,

Probability = P(Both Waiter) + P(Both Chef) + P(Both Dishwasher) = 0.33

Hence, the probability that the woman shared the same profession is 0.334.

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