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11 out of 15 students is selected for a football team. What is the probability that Hanif is selected?
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The total number of all possible teams is the number of combinations
= = 1365.
The teams where Hanif participates, are those where 10 other students
of remaining 15-1 = 14 students participate.
The number of such teams is = = 1001.
The probability that Hanif will be selected is P = = 0.7333 (rounded). ANSWER
Solved.
Another reasoning is possible, also.
The probability that Hanif will be among 11 lucky guys from the total 15 guys is .
Notice that this ratio's value is precisely the same as above.