A coin is tossed twice. If the outcome is at most one tail, what i | Filo

Class 12

Math

Algebra

Probability I

543
150

A coin is tossed twice. If the outcome is at most one tail, what is the probability that both head and tail have appeared?

Solution: Given a coin is tossed twice

Then the sample space will be

Given that the outcome is at most one tail

So favourable outcomes will be

Let be the event of getting at most one tail

Probability of to happen is

then the outcomes of is

Probability of to happen is

Favourable outcomes of is

Required probability is the probability of given that has happen

As we know that

So Probability that both head and tail have appeared if the the outcome is at most one tail is
543
150

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