Chapter 13.6, Problem 4CYU

To determine

To determine probability of given event.

Answer to Problem 4CYU

Probability is $\frac{11}{25}$ or 44%

Explanation of Solution

Given information :

  

Total students are 100

Now the probability that the student is junior,

Total junior are 39

Hence the probability that the student is junior from 100 students is $\frac{39}{100}$

Similarly probability that the student is from debate is $\frac{11}{100}$

Now the probability the student is junior or student is from debate is,

(Given events are mutually exclusive)

Hence,

P(junior or debate) = $\frac{39}{100}+\frac{11}{100}-\text{P(junior and debate)}$

There are 6 students sharing both debate and junior,

P(junior or debate) = $\frac{39}{100}+\frac{11}{100}-\frac{6}{100}=\frac{44}{100}=\frac{11}{25}$ or 44%