Multiple choice

Three unbaised coins are tossed simultaneously. then, the probability of receving at most two tails is______

  1. $7/8$
  2. $3/4$
  3. $5/8$
  4. $1/2$
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A Correct answer
Explanation

The only outcome excluded from “at most two tails” is three tails. Its probability is (1/2)^3 = 1/8, so the required probability is 1 - 1/8 = 7/8.

AI explanation

By applying the complementary event probability rule, the chance of getting at most two tails is 1 minus the probability of getting exactly three tails. When three unbiased coins are tossed, the probability of getting all three tails is 1/8. Subtracting this from 1 gives 7/8.

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