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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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Mathematics
4 years
2021-08-18T19:53:33+00:00
2021-08-18T19:53:33+00:00 1 Answers
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Answers ( )
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)