NASA announced that it will choose two astronauts to travel to the International Space Station. If five male and four female astronauts are deemed suitable for the mission, what is the probability that the two-person team chosen at random from this group will be madae up of:A) one male and one female?B) two malesC) two females?D) two males or two females

Question
Asked Nov 6, 2019

NASA announced that it will choose two astronauts to travel to the International Space Station. If five male and four female astronauts are deemed suitable for the mission, what is the probability that the two-person team chosen at random from this group will be madae up of:

A) one male and one female?

B) two males

C) two females?

D) two males or two females

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Step 1

Note:

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Step 2

Combination Rule:

The arrangement of r objects from n different objects is given by:

г!
С,
'r
r(п-г)!
п
П
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г! С, 'r r(п-г)! п П

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Step 3

A)Calculating the probability:

There are 5 male and 4 female astronauts. Two astronauts are selected. The probability that the two-pers...

5
4
1
1
Probability
9
2
5x 4
36
0.5556
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5 4 1 1 Probability 9 2 5x 4 36 0.5556

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