The chances to fail in Physics are 20% and th | vedclass

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Question

(a) Let $P(A) = \frac{{20}}{{100}} = \frac{1}{5},$ $P(B) = \frac{{10}}{{100}} = \frac{1}{{10}}$

Since events are independent and we have to find

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(a) Let $P(A) = \frac{{20}}{{100}} = \frac{1}{5},$ $P(B) = \frac{{10}}{{100}} = \frac{1}{{10}}$

Since events are independent and we have to find

$P(A \cup B) = P(A) + P(B) - P(A)\,.\,P(B)$

$ = \frac{1}{5} + \frac{1}{{10}} - \frac{1}{5} 	imes \frac{1}{{10}} = \frac{3}{{10}} - \frac{1}{{50}} $

$= \frac{{14}}{{50}} = \frac{{14}}{{50}} 	imes 100 = 28\% .$

$P(A)$	$P(B)$	$P(A \cap B)$	$P (A \cup B)$
$\frac {1}{3}$	$\frac {1}{5}$	$\frac {1}{15}$	........

The chances to fail in Physics are $20\%$ and the chances to fail in Mathematics are $10\%$. What are the chances to fail in at least one subject ............ $\%$

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