List the sample space of flipping a coin 3 times. How many elements of the sample space contain exactly two tails?

A) 1
B) 2
C) 3
Eliminate
D) 4

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amayaoliver amayaoliver · Answer 1 · 2019-04-16T00:59:52+02:00

Answer: C.

The sample space will look like this: HHH,HHT,HTH,HTT,TTT,TTH,THT,THH. The 3 elements that have two tails are HTT,TTH,and THT.

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joaobezerra joaobezerra · Answer 2 · 2022-02-10T13:07:21+01:00

The sample space of flipping a coin 3 times is:

{H - H - H, H - H - T, H - T - H, H - T - T, T - H - H, T - H - T, T - T - H, T - T - T}

Of those, the option which gives the number of elements in the sample space that contain exactly two tails is:

C) 3

The sample space is the set that contains all possible outcomes for an experiment.

In this problem, considering H for heads and T for tails, the possible outcomes are:

H - H - H

H - H - T

H - T - H

H - T - T

T - H - H

T - H - T

T - T - H

T - T - T

Hence, the sample space is:

{H - H - H, H - H - T, H - T - H, H - T - T, T - H - H, T - H - T, T - T - H, T - T - T}

There are 3 outcomes that result in exactly two tails, which are T - H - T, T - T - H and H - T - T, hence option C is correct.

You can learn more about sample space at https://brainly.com/question/25861936