# Answer to Question #11144 in Statistics and Probability for Ke_091

Question #11144

In a certain school, the students engage in various sports in the following

proportions:

Cricket (C) : 60% of all students

Tennis (T) : 50% of all students

Both Cricket & Tennis : 30% of all students

If a student is selected at random, what is the probability that he will

(i) Play Cricket or Tennis

(ii) Play neither sports?

proportions:

Cricket (C) : 60% of all students

Tennis (T) : 50% of all students

Both Cricket & Tennis : 30% of all students

If a student is selected at random, what is the probability that he will

(i) Play Cricket or Tennis

(ii) Play neither sports?

Expert's answer

Cricket only: Co = C - B = 60% - 30% = 30%,

Tennis only: To = T - B = 50% -

30% = 20%.

So, 100% - Co - To - B = 100% - 30% - 20% - 30% = 20% of students

play

neither sports.

So, 100% - 20% = 80% play Cricket or

Tennis.

Answer: (i) 80%, (ii) 20%.

Tennis only: To = T - B = 50% -

30% = 20%.

So, 100% - Co - To - B = 100% - 30% - 20% - 30% = 20% of students

play

neither sports.

So, 100% - 20% = 80% play Cricket or

Tennis.

Answer: (i) 80%, (ii) 20%.

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment