# Probability - Defectives, Cards

12) If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a sample of 100 bulbs, five are defective

13) Three cards are drawn from a deck of 52 cards without replacement. Find the probability that

a) two are jacks and one is king

b) all cards are of one unit

c) at least two aces are drawn.

See the attachment.

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#### Solution Preview

^ = raised to the power of

12) If 3% of the electric bulbs manufactured by a company are defective, find the probability that in a sample of 100 bulbs, five are defective

p= 3%

q= 97%

n= 100

This is a binommial distribution

Prob of defective= 5 =100 C 5 p ^5 q ^95= 0.10131

13) Three cards ...

#### Solution Summary

2 questions on probability are solved - defective bulbs, cards. Answers use the concept of binomial distribution and combinations.