Alice goes to the Dominican Republic for a vacation. She has 20 dresses, 10 pair

Question

Alice goes to the Dominican Republic for a vacation. She has 20 dresses, 10 pairs of jeans, and 30 shirts in her wardrobe. Due to airline weight restrictions, she can only take 20 of these items with her. (A pair of jeans counts as one item.) She decides to randomly select these items.

(a) What is the probability that she selects exactly 5 dresses and 15 other items?

She will feel like she has nothing to wear if she selects neither jeans nor dresses.

(b) What is the probability that she will feel like she has nothing to wear?

Explanation / Answer

a) P(selecting exactly 5 dressess) = 20C5 / 60C20 = 15504 / 4191844505805495 = 3.7 * 10-12

b) P(she will feel like she has nothing to wear) = P(she only selects wardrobe)

= 30C20 / 60C20

= 30045015 / 4191844505805495

= 7.17 * 10-9

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.