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PLEASE HELP Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?

1/25
1/20
1/10
1/5

Respuesta :

Answer: 1/5

Step-by-step explanation: Because, there is five and you have one chance out of the 5. If that makes any sense.

The probability of each outcome in the sample space is 1/20

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

Total number of students:

n(S) = 5

The probability of selecting one student would be,

P(A) = 1/5

Now, there are 4 students.

n(S) = 4

So, probability of selecting second student from remaining 4.

P(B) = 1/4

Hence, the probability of each outcome in the sample space would be,

1/5 × 1/4  = 1/20

Therefore, the probability of each outcome in the sample space is 1/20

Learn more about the probability here:

brainly.com/question/11234923

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