I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, can I say that probability of no heads is $14$ ? What is wrong with this conclusion?

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12

58

18

17

answer is C.

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Detailed Solution

Given that three coins are tossed together.
We have to find the probability of getting no head Probability of head in tossing a coin is

14

.
The possible outcomes when three coins are tossed together.

H H H, H H T, H T H, H T T, T H H, T H T, T T H, T T T

In this case total number of outcomes is

23 = 8

And possible outcomes is only

T T T

.
So number of favourable outcome is 1.
The general formula for probability is:

P = n o . of favorable outcomes total number of outcomes

P = 18

Therefore, probability of getting no head is

18

, hence the given conclusion is wrong.
Therefore, the correct option is 3.

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