The probabilities that A, B, and D can solve a problem independently are 1/3, 1/3, and 1/4 respectively. The probability that only two of them are able to solve the problem is:
Question and options
The probabilities that A, B, and D can solve a problem independently are 1/3, 1/3, and 1/4 respectively. The probability that only two of them are able to solve the problem is:
Answer and explanation
Correct answer: B - \(\frac{7}{36}\)
Exactly two: (1/3)(1/3)(3/4) + (1/3)(2/3)(1/4) + (2/3)(1/3)(1/4) = 3/36 + 2/36 + 2/36 = 7/36.
Practice for these exams
-
JIPMAT
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- Out of 7 different consonants and 4 different vowels, how many words (not necessarily meaningful) of 4 consonants and 2 vowels can be formed?
- If \(\alpha\) and \(\beta\) are the roots of the equation \(a x^{2}+b x+c=0\), then value of \(\frac{1}{a \alpha+b}+\frac{1}{a \beta+b}\) is :
- A certain sum on compound interest becomes ₹ 19573 at 15% per annum in 2 years. Find the compound interest on the same sum at 10% per annum in 2 years.
- Two inlet pipes A and B can fill a tank in 18 hours and 24 hours, respectively, while an outlet pipe C can empty the full tank in X hours. Initially, all three…
- A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets…