Multiple choice

A coin is successively tossed two times. Find the probability of getting Exactly one head At least one head

  1. $\displaystyle \frac {1}{2}, \frac {3}{4}$
  2. $\displaystyle \frac {2}{3}, \frac {1}{4}$
  3. $\displaystyle \frac {1}{4}, \frac {4}{5}$
  4. $\displaystyle \frac {1}{2}, \frac {2}{3}$
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A Correct answer
Explanation

For two coin tosses, the sample space is {HH, HT, TH, TT}. Exactly one head occurs in {HT, TH}, so the probability is 2/4 = 1/2. At least one head occurs in {HH, HT, TH}, so the probability is 3/4.

AI explanation

The sample space for tossing a coin two times has 4 outcomes: HH, HT, TH, and TT. The probability of getting exactly one head is 2/4, which simplifies to 1/2. The probability of getting at least one head is 3/4, making the correct pair 1/2 and 3/4.

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