Problem

An experiment consists of tossing 3 fair (not weighted) coins, except one of the 3 coins has a head on both sides. Compute the probability of obtaining less than 2 talls.

The probability of obtaining less than 2 tails is $\square$
(Type an integer or a simplified fraction.)

Answer

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Answer

\(\boxed{0.875}\) is the final answer. This is the probability of obtaining less than 2 tails when tossing 3 coins, one of which has heads on both sides.

Steps

Step 1 :An experiment consists of tossing 3 fair (not weighted) coins, except one of the 3 coins has a head on both sides. We are asked to compute the probability of obtaining less than 2 tails.

Step 2 :The total number of outcomes is 8.

Step 3 :The number of favorable outcomes, which is the number of outcomes with less than 2 tails, is 7.

Step 4 :We calculate the probability by dividing the number of favorable outcomes by the total number of outcomes. This gives us a probability of \( \frac{7}{8} = 0.875 \).

Step 5 :\(\boxed{0.875}\) is the final answer. This is the probability of obtaining less than 2 tails when tossing 3 coins, one of which has heads on both sides.

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