SOLUTION: Mrs. Voss’ speech class has 25 students. If 6 students will give their speeches today and the order is chosen randomly, then what is the probability that Tim goes first and Jenny
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Question 1191353: Mrs. Voss’ speech class has 25 students. If 6 students will give their speeches today and the order is chosen randomly, then what is the probability that Tim goes first and Jenny goes second (the rest can be anyone)?
*Please use the P(A) = number of outcomes in event A/total number of outcomes formula* Answer by ikleyn(52775) (Show Source):
You can put this solution on YOUR website! .
Mrs. Voss’ speech class has 25 students. If 6 students will give their speeches today
and the order is chosen randomly, then what is the probability that Tim goes first
and Jenny goes second (the rest can be anyone)?
*Please use the P(A) = number of outcomes in event A/total number of outcomes formula*
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In this problem, we consider all ordered groups of 6 students, selected from 26 students.
The number of such groups is 25*24*23*22*21*20.
It is the denominator of the fraction: the total number of all possible outcomes.
The favorable outcomes are those ordered groups of 6 students, that have Tim
at the first position and Jenny at the second position.
The rest 4 students in the group of 6 can be any of remaining 25-2 = 23 students in arbitrary order.
So, the number of favorable groups at this consideration is 23*22*21*20.
It is the numerator of the fraction.
The probability is
P = = = after canceling common factors = = . ANSWER
