This past semester, a professor had a small business calculus section. the students in the class were jinita comma jim comma william comma allison comma dave comma and mikejinita, jim, william, allison, dave, and mike. suppose the professor randomly selects two people to go to the board to work problems. what is the probability that mikemike is the first person chosen to go to the board and jimjim is the second?

Question

Mathematics

Kaylah Wiley

22 December, 14:40

This past semester, a professor had a small business calculus section. the students in the class were jinita comma jim comma william comma allison comma dave comma and mikejinita, jim, william, allison, dave, and mike. suppose the professor randomly selects two people to go to the board to work problems. what is the probability that mikemike is the first person chosen to go to the board and jimjim is the second?

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Marlene Ho · Answer 1

The probability would be 1/30.

The probability that Mike goes first is 1/6, since each person has an equal chance of being chosen first. After Mike goes, Jim has a 1/5 chance to go next, since Mike has already gone. The probability is then

1/6 (1/5) = 1/30.