Probability problem

1. for a group of students,30%,40% & 50% failed in physics,chemistry & at least one of the two subjects respectively.if an examinee is selected at random,what is the probability that he passed in physics if it is known that he failed in chemistry ?ans is 1/6,how?

a).1/2                                                                                                                                            b)1/3

c).1/4                                                                                                                                             d).1/6

 

2. a packet of 10 electronic components is known to include 2 defectives.if a sample of 4 components is selected at random from the packet,what is the probability that the sample does not contain more than 1 defective? ans is 13/15,how?

a).1/3                                                                                                                                             b).2/3

c).13/15                                                                                                                                          d).3/15

 

3. 8 identical balls are placed at random in three bags.what is the probability that the first bag will contain 3 balls? ans is 0.2731,how?

a).0.2731                                                                                                                                              b).0.3256

c).0.1924                                                                                                                                                d).0.3443

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