Question

In a match between A and B there is no chance of a tie . If the probability that A will lose is 3/7 then the probability that B will win is​

Answer 1

Question

In a match between A and B there is no chance of a tie. If the probability that A will lose is 3/7 then the probability that B will Win is ?

Given

• In a Match Of team A and team B there is no chance of game to tie.
• The probability that A will lose is 3/7 .

Required to Find

Probability that B will Win

Solution

Total probability = 1

$\implies \sf \: p(w) + p(l) = 1$

$\implies \sf \dfrac{3}{7} + p(l) = 1$

$\implies \sf \: p(l) = 1 - \dfrac{3}{7}$

$\implies \sf \: p(l) = \dfrac{7 - 3}{7}$

$\bf \implies \: \dfrac{4}{7}$

Therefore, the probability of losing the game is

$\bf \: \implies \color{red} \dfrac{4}{7}$