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State true or false.

Sushma tosses a coin $3$ times and gets tail each time. Then the outcome of the next toss will also be a tail.

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True

False

answer is B.

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Detailed Solution

It is given that, Sushma tosses a coin

3

times and gets tail each time.
We need to find if the outcome of the next toss is also a tail.
Let A be the event, then the probability of the event A is given by,

P (A) = \frac{Number of favourable outcomes}{Total number of outcomes}

If A be the event of getting a tail, then
n(A) = 1
n(S) = 2
The probability of getting a tail is given by,

P (A) = \frac{1}{2}

Similarly, the probability of getting a head is,

= \frac{1}{2}

In each toss the probability of getting head or tail is

12

3

times getting a tail does not mean that, the

4 t h

time it will be a tail.
So, the correct statement is that the outcome of the next toss may or may not be a

T

.
Hence, the statement is false.
Therefore, option 2 is correct.

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