5. A coin is flipped 15 times. Find the probability of obtaining exactly 6 heads

Question

5. A coin is flipped 15 times. Find the probability of obtaining exactly 6 heads.

6. Three cards are selected without replacement from a standard deck of 52 cards. Find the probability of selecting three red cards.

7. Three light bulbs are selected at random from a lot of 5, of which 5 are defective. What is the probability that at least one is defective?

8. Let E and F be two events in an experiment with sample space S. Suppose P(E) = 0:5 and P(F) = 0:4 and P(E intersection F) = 0:2. Draw a Venn diagram to find P(E^c intersection F). Find P(E|F).

Explanation / Answer

5)

Required probability = 15C6 * 0.5^6 * 0.5^9

= 0.1527

6) Required probability = 26C3 / 52C3

= .117

7) In a lot of 5 if all 5 are defective then probability of selecting at least 1 defective is 1

8) P(E|F) = P(E intersection F) / P(F)

= 0.2 / 0.4 = 0.5

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