A classroom contains 10 students. A student committee of 3 (president, vice-president, and treasurer) must be...

A classroom contains 10 students. A student committee of 3 (president, vice-president, and treasurer) must be selected. Harry Potter will serve only as president only if either of his friends Ron Weasley or Hermione Granger serve as vice president; otherwise he leaves the group. The others (including Ron and Hermione) have no such restrictions. What is the probability that Ron or Hermione become the president of this group?

Expert Solution

Total number of ways:

Harry Potter will serve as president AND Ron will serve as vice president AND any one serve as treasurer is:

Harry Potter will serve as president AND Hermione will serve as vice president AND any one serve as treasurer is:

Harry Potter will not serve as president means any one except Harry Potter (remaining students 9) serve at three places:

Total number of ways = 8+8+504 = 520

Ron become the president of this group means anyone except Ron and Harry Potter (remaining students 8) serve at remaining two places:

Hermione become the president of this group means anyone except Hermione and Harry Potter (remaining students 8) serve at remaining two places:

Favorable cases when Ron or Hermione become the president of this group is:

Favorable cases = 56+56 = 112

The probability that Ron or Hermione become the president of this group is:

orchestra answered 1 year ago

A classroom contains 9 students. A student committee of 3 (president, vice-president, and treasurer) must be...

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