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Standard IX

Mathematics

Experimental/Empirical Probability

A coin is tos...

Question

A coin is tossed five times. What is the probability that heads are observed more than three times?

\frac{3}{16}

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\frac{5}{16}

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\frac{1}{2}

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\frac{3}{32}

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Solution

The correct option is C $\frac{5}{16}$
Given,
$p = P$ (Getting a head) $= \frac{1}{2}$
$q = P$ (Getting no head) $= \frac{1}{2}$
$n = 4, r = 4$ and $N = 5$
$∴ P (X > 3) = 5 [C_{4}^{4} p^{4} q^{0}] = 5 \times {(\frac{1}{2})}^{4} = \frac{5}{16}$
Hence, B is the correct option.

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A coin is tossed five times. What is the probability that heads are observed more than three times?

The correct option is C 516Given,p=P(Getting a head)=12q=P(Getting no head)=12n=4,r=4 and N=5∴P(X>3)=5[C44p4q0]=5×(12)4=516Hence, B is the correct option.

The correct option is C $\frac{5}{16}$
Given,
$p = P$ (Getting a head) $= \frac{1}{2}$
$q = P$ (Getting no head) $= \frac{1}{2}$
$n = 4, r = 4$ and $N = 5$
$∴ P (X > 3) = 5 [C_{4}^{4} p^{4} q^{0}] = 5 \times {(\frac{1}{2})}^{4} = \frac{5}{16}$
Hence, B is the correct option.