An executive committee consists of 1313 members: 55 men and 88 women. 44 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat. what is the probability that all 44 selected are womenwomen?

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25-08-2018
Mathematics

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An executive committee consists of 1313 members: 55 men and 88 women. 44 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat. what is the probability that all 44 selected are womenwomen?

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Riia Riia · Answer 1 · 2018-09-04T14:03:55+02:00

It is given in the question that

An executive committee consists of 13 members: 5 men and 8 women. 4 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat.

And we have find the probability of selecting all 4 women.

Selecting 4 women out of 8 women is

[tex] 8C4= 70 [/tex]

Selecting 4 from a total of 13 persons

[tex] 13C4=715 [/tex]

Required probability

[tex] = \frac{70}{715} = \frac{14}{143} [/tex]

An executive committee consists of 1313 ​members: 55 men and 88 women. 44 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat. what is the probability that all 44 selected are womenwomen​?

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An executive committee consists of 1313 members: 55 men and 88 women. 44 members are selected at random to attend a meeting in hawaii. the names are drawn from a hat. what is the probability that all 44 selected are womenwomen?