Question

One question is assigned to three person Anil , Kamal & Sujata .they solve the question , it’s chances are 1/6 , 2/3 , 1/4 respectively. Then find the probability that the question is solved.
1. 5/25 
2. 1/25 
3. 19/24 
4. 1/24 
5. 1/23

Answer 1

Correct Answer - Option 3 : 19/24 

Given

Chances of Anil, Kamal and Sujata solve the question is 1/6, 2/3 and ¼

Calculation

Event of solving the question by Anil, Kamal and Sujata is independent

The question will be solved if at least one of the three will solve the question

Required probability = 1 – {[1 – (1/6)][1 – (2/3)][1 – (1/4)]

⇒ 1 – (5/24)

⇒ 19/24