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Random Variables, Expectation & Variance · Question 7 of 68

What is the probability of exactly 2 tails in the four tosses?

Question 7

EasyOriginal question

Four fair coins are tossed together, and XX is the number of tails that show.

What is the probability of exactly 2 tails in the four tosses?

Options for question 7

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Of the 16 equally likely outcomes, 4C2=6^{4}C_{2} = 6 have exactly 2 tails.

  2. 616=38\frac{6}{16} = \frac{3}{8}.

Worth noting

15\frac{1}{5} treats the 5 values as equally likely; 2 tails can happen in more ways.

Concept
Counting outcomes for a value
Typical time
90 s
Your time
—
The rule this testsRandom variables
Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.

Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.