Say the probability that Paul passes English is 0.70 and the probability that Pa

Question

Say the probability that Paul passes English is 0.70 and the probability that Paul passes Spanish is 0.6. Furthermore, assume the probability that he will pass both classes is 0.45. What is the probability that he will pass Spanish if it is known that he will pass English? The probability of a compact disc being defective is 0.01. Assuming independence, what is the probability that if three discs are selected at random that none of them are defective? How many ways may three dogs come in first, second, and third if there are eight dogs running in a particular race? In how many different sequences may the letters of the word BOOKKEEPER be arranged?

Explanation / Answer

6) conditional probabilit ythat he will pass spanish if it is known that he will pass English =P(S|E)=P(SnE)/P(E)

=0.45/0.7 =9/14

7)probabilty none are defective =(1-0.01)3 =0.9703

8)number of ways ; choosing 3 and arranging =8!/5! =336

9)total 1 B, 2 O's 2 K's 3 E's 1 P. 1 R =10 letters hence number of words =10!(2!*2!*3!*1!*1!*1!) =151200

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