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  • As the number of tosses of a coin increase, the ratio of the number of heads to the total number of tosses will be frac{1}{2}. Is it correct? If not, write the correct one.

As the number of tosses of a coin increase, the ratio of the number of heads to the total number of tosses will be 0.5. Is it correct? If not, write the correct one.

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Answer : No

As the number of tosses of a coin increase, we may have a head or a tail as an outcome. Probability of 0.5 is achieved when the total number of heads = total number of tails. So obviously we can say that it is not necessary that the favourable outcomes of tails will be equal to favourable outcomes of heads.

So this ratio may or may not be 0.5.

\\\text{ For example, if we toss for three times and one head is obtained, so ratio}=\frac{1}{3}\neq \frac{1}{2}

\text{If we toss for three times and two heads are obtained, so ratio}=\frac{2}{3}\neq \frac{1}{2}

 \text{If we toss for four times and no head is obtained, so ratio}=\frac{0}{4}\neq \frac{1}{2}

\text{If we toss for four times and 2 heads are obtained, so ratio }=\frac{2}{4}= \frac{1}{2}

So we are not sure what the ratio will be.

Hence the given statement is not true.

Posted by

infoexpert23

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