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A social studies quiz has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions. TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF How many outcomes include 2 true and 2 false answers?

Respuesta :

adamuhumaira25

Answer:

The answer is there are six outcomes

Step-by-step explanation:

TTFF, TFTF, TFFT, FTTF, FTFT,

FFTT

The probability of getting outcomes including 2 true and 2 false answers is 3/8.

The given sample space is {TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF}

We need to find how many outcomes include 2 true and 2 false answers.

What is the formula to find the probability of an event?

The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.

Now, the number of favourable outcomes=6 and = the total number of outcomes=16.

So, P(E)=6/16=3/8

Therefore, the probability of getting outcomes including 2 true and 2 false answers is 3/8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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