Question

The probability that a cricket team winning a match at Kanpur is 2/5 and loosing a match at Delhi is 1/7. What is the probability of the team winning at least one match? A)1/35 b)32/35 c)18/35 d)17/35

Answer 1

A) 2.5/35 is the probability of winning

Answer 2

Answer:

$\dfrac{32}{35}$

B is correct.

Step-by-step explanation:

Probability( winning a match at kanpur),P(WK) $=\dfrac{2}{5}$

Probability( losing a match at kanpur),P(LK) $=1-\dfrac{2}{5}=\dfrac{3}{5}$

Probability( losing a match at Delhi), P(LD) $=\dfrac{1}{7}$

Probability( winning a match at Delhi),P(WD) $=1-\dfrac{1}{5}=\dfrac{6}{7}$

The probability of the team winning at least one match,

P(  team winning at least one match ) =1 - P(Losing both math)

                                                             $=1-P(LK)P(LD)$

                                                             $=1-\dfrac{3}{5}\cdot \dfrac{1}{7}$

                                                             $=1-\dfrac{3}{35}$

                                                             $=\dfrac{32}{35}$

Hence, the probability of the team winning at least one match is $\dfrac{32}{35}$