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

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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}} $

$= \frac{{14}}{{50}} = \frac{{14}}{{50}} 	imes 100 = 28\% .$

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 ............ $\%$

Similar Questions

Let $A$ and $B$ be events for which $P(A) = x$, $P(B) = y,$$P(A \cap B) = z,$ then $P(\bar A \cap B)$ equals

Two balls are drawn at random with replacement from a box containing $10$ black and $8$ red balls. Find the probability that First ball is black and second is red.

Two dice are thrown. What is the probability that the sum of the numbers appearing on the two dice is $11$, if $5$ appears on the first

The probability that a student will pass the final examination in both English and Hindi is $0.5$ and the probability of passing neither is $0.1$. If the probability of passing the English examination is $0.75$, what is the probability of passing the Hindi examination?

Three ships $A, B$ and $C$ sail from England to India. If the ratio of their arriving safely are $2 : 5, 3 : 7$ and $6 : 11$ respectively then the probability of all the ships for arriving safely is