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The answer is 0.035, show steps
31. A club with eight members from grade 11 and five members from grade 12 is to elect a president, vice-president, and secretary. What is the probability (as a percentage to one decimal place) that grade 12 students will be elected for all three positions, assuming that all club members have an equal chance of being elected? 37 de th po th
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Solution:-

31) The probability that grade 12 students will be elected for all three positions is 0.03497.

Total number of ways of selecting 3 students = 13C3 = 286

Number of ways of selecting 3 students from 12th grade = 5C3 = 10

The probability that grade 12 students will be elected for all three positions = 10/286

The probability that grade 12 students will be elected for all three positions is 0.03497.

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