A coin is tossed live times. What is the probability that there is at the least one tail?
A. $$\frac{{31}}{{32}}$$
B. $$\frac{{1}}{{16}}$$
C. $$\frac{{1}}{{2}}$$
D. $$\frac{{1}}{{32}}$$
Answer: Option A
Solution(By Examveda Team)
Let P(T) be the probability of getting least one tail when the coin is tossed five times.$$P\left( {\overline T } \right)$$ = There is not even a single tail.
i.e. all the outcomes are heads.
$$\eqalign{ & P\left( {\overline T } \right) = \frac{1}{{32}} \cr & P\left( T \right) = 1 - \frac{1}{{32}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{31}}{{32}} \cr} $$
Related Questions on Probability
A. $$\frac{{1}}{{2}}$$
B. $$\frac{{2}}{{5}}$$
C. $$\frac{{8}}{{15}}$$
D. $$\frac{{9}}{{20}}$$
A. $$\frac{{10}}{{21}}$$
B. $$\frac{{11}}{{21}}$$
C. $$\frac{{2}}{{7}}$$
D. $$\frac{{5}}{{7}}$$
A. $$\frac{{1}}{{3}}$$
B. $$\frac{{3}}{{4}}$$
C. $$\frac{{7}}{{19}}$$
D. $$\frac{{8}}{{21}}$$
E. $$\frac{{9}}{{21}}$$
What is the probability of getting a sum 9 from two throws of a dice?
A. $$\frac{{1}}{{6}}$$
B. $$\frac{{1}}{{8}}$$
C. $$\frac{{1}}{{9}}$$
D. $$\frac{{1}}{{12}}$$
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