Question

Three coins are tossed once. Probability of getting no head is :

• A. \(\frac18\)
• B. \(\frac14\)
• C. \(\frac38\)
• D. \(\frac12\)

Answer 1

The Correct Option is A

To determine the probability of getting no head when three coins are tossed, we need to find the probability of the event where all coins result in tails.

Each coin has two possible outcomes: head or tail. When three coins are tossed, the total number of possible outcomes is given by:

\[2 \times 2 \times 2 = 2^3 = 8\]

This means there are 8 potential outcomes.

Among these outcomes, the only combination that results in no head (all tails) is TTT.

Thus, the number of favorable outcomes is 1 (TTT).

The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes:

\[P(\text{No Head}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}}\]

Substituting the values, we have:

\[P(\text{No Head}) = \frac{1}{8}\]

Therefore, the probability of getting no head when tossing three coins is \(\frac{1}{8}\).