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(Solution Download) 2.4.12 From 10 positive and 6 negative numbers, 3 numbers are chosen at random and without...

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2.4.12     From 10 positive and 6 negative numbers, 3 numbers are chosen at random and without repetitions. What is the probability that their product is a negative number?

2.4.13     In how many ways can a committee of 2n + 1 people be seated along one side of a table, if the chairman must sit in the middle?

2.4.14     Each of the 2n members of a committee ?ips a fair coin in deciding whether or not to attend a meeting of the committee; a committee member attends the meeting if an H appears. What is the probability that a majority will show up in the meeting?

2.4.15     If the probability that a coin falls H is p (0 p 1), what is the probability that two people obtain the same number of H?s, if each one of them tosses the coin independently n times?


 

 

2.4.16

i)    Six fair dice are tossed once. What is the probability that all six faces appear?

ii)    Seven fair dice are tossed once. What is the probability that every face appears at least once?

 







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