Question

the probabilities of aman and bhuvan to solve a problen is 1/4 and 1/8 respectievly. if they are working on the same problem what is the probability that exactly one of them can solve it

Answer 1

Answer: 1/12

Pls mark brainliest

Answer 2

Answer:

Probability = 11/32

Step-by-step explanation:

In the question,

The probability of Aman to solve a problem = 1/4

The probability of Bhuvan to solve the same problem = 1/8

So,

For getting exactly one of them to solve the problem the probability is given by,

When,

Aman solves but Bhuvan doesn't or Bhuvan solves but Aman doesn't.

So,

Probability of Aman to not solve a problem = 1 - (1/4) = 3/4

Probability of Bhuvan to not solve a problem = 1 - (1/8) = 7/8

Now,

Probability = (Probability of Aman to solve) x (Probability of Bhuvan to not solve) + (Probability of Bhuvan to solve) x (Probability of Aman to not solve)

$Probability = (\frac{1}{4}\times \frac{7}{8})  + (\frac{1}{8}\times \frac{3}{4}  )\\Probability = \frac{7}{28} + \frac{3}{32} = \frac{77}{224}\\ Probability = \frac{11}{32}$

Therefore, the Probability is given by 11/32.