First slide

Introduction to probability

Question

South African cricket captain lost the toss of a coin 13 times out of 14. The chance of this happening was

Moderate

A

$\frac{7}{2^{13}}$
B

$\frac{1}{2^{13}}$
C

$\frac{13}{2^{14}}$
D

$\frac{13}{2^{13}}$

Solution

L and W can be filled at 14 places in 2¹⁴ ways.
$∴ n (S) = 2^{14}$
Now 13 L's and 1 W can be arranged at 14 places in 14 ways. Hence, n(A): 14.
$∴ p = \frac{14}{2^{14}} = \frac{7}{2^{13}}$

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