Multiple choice

Obtain the sample space of an experiment that consists of a fair coin being tossed four times. Consider the following events: A is the event all four results are the same. B is the event exactly one Head occurs. C is the event at least two Heads occur. Calculate p(A)?

  1. $\dfrac{1}{16}$
  2. $\dfrac{2}{16}$
  3. $\dfrac{3}{16}$
  4. $\dfrac{5}{16}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total outcomes for 4 coin tosses = 2^4 = 16. Event A (all same) is {HHHH, TTTT}, so 2 outcomes. P(A) = 2/16.

AI explanation

When a fair coin is tossed four times, the total number of possible outcomes in the sample space is 2 raised to the power of 4, which is 16. Event A is getting all four results the same, meaning either all heads or all tails. There are only two such outcomes out of the 16 possibilities. The probability is 2 divided by 16.

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