If probability of a horse A winning a race is 1/4 and probability of a horse B winning same race is

English

Gujarati

Hindi

14.Probability

easy

If the probability of a horse $A$ winning a race is $1/4$ and the probability of a horse $B$ winning the same race is $1/5$, then the probability that either of them will win the race is

A

$\frac{1}{{20}}$

B

$\frac{9}{{20}}$

C

$\frac{{11}}{{20}}$

D

$\frac{{19}}{{20}}$

Solution

(b) $P(A \cup B) = P(A) + P(B) = \frac{1}{4} + \frac{1}{5} = \frac{9}{{20}}.$

$\{$Since events are mutually exclusive, so $P(A \cap B) = 0\} $

Standard 11

Mathematics

Share

Similar Questions

If odds against solving a question by three students are $2 : 1 , 5:2$ and $5:3$ respectively, then probability that the question is solved only by one student is

medium

If $A$ and $B$ are two mutually exclusive events, then $P\,(A + B) = $

normal

Let ${E_1},{E_2},{E_3}$ be three arbitrary events of a sample space $S$. Consider the following statements which of the following statements are correct

medium

If an integer is chosen at random from first $100$ positive integers, then the probability that the chosen number is a multiple of $4$ or $6$, is

medium

$A$ and $B$ are two events such that $P(A)=0.54$, $P(B)=0.69$ and $P(A \cap B)=0.35.$ Find $P \left( A \cap B ^{\prime}\right)$ .

easy