In the French Honor Society, there are 12 girls and 8 boys. This summer, they are taking a trip to France and only 8 people can

Question

In the French Honor Society, there are 12 girls and 8 boys.
This summer, they are taking a trip to France and only 8
people can go. Find the probability that each of the
following groups will be randomly selected to go on the trip
to France.
a) All girls

b) All boys

c) 4 girls and 4 boys

d) 3 girls and 5 boys

e) At least one boy

f) At least two girls

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Ladonna 4 years 2021-08-18T19:53:33+00:00 1 Answers 3 views 0

Answers ( )

  1. Euphemia
    0
    2021-08-18T19:54:48+00:00
    Reply

    Answer:

    a) All girls – 12C8 /20 C8

    b) All boys – 8C8/20C8

    c) 4 girls and 4 boys – 8C4 * 12C4/20 C8

    d) 3 girls and 5 boys – 8C5 * 12C3/20 C8

    e) At least one boy – 1 – 12C8 /20 C8

    f) At least two girls 1 – (1 – 8C8 /20 C8)

    Step-by-step explanation:

    Given –

    Total girls – 12

    Total boys – 8

    a) All girls – 12C8 /20 C8

    b) All boys – 8C8/20C8

    c) 4 girls and 4 boys – 8C4 * 12C4/20 C8

    d) 3 girls and 5 boys – 8C5 * 12C3/20 C8

    e) At least one boy – 1 – 12C8 /20 C8

    f) At least two girls 1 – (1 – 8C8 /20 C8)

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