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Unformatted text preview: numbers will appear at least once? 4.7. What is the probability of guessing exactly 3 out of 5 multiple choice questions, if each question has four answers? 4.8. Calls to a toll-free hotline service are made randomly at rate 2 per minute. The service has ve operators, none of whom is currently busy. Use the Poisson distribution to estimate the probability that in the next ve minute there are less than ve calls. 4.9. You pick ve cards out of a deck of 52. What is the probability that you get exactly 2 spades? 4.10. A drawer contains 10 black, 8 brown, and 6 blue socks. If we pick two socks at random, what is the probability that they match? 4.11. You pick 13 cards out of a deck of 52. What is the probability that you will not get a card from every suit? (Use the inclusion-exclusion formula.)...
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