ExamBro
ExamBro
AP EAMCET · Maths · Probability

Two bolts, two nuts and three needles are in a box. Two parts are choosen at random from the box. What is the probability that one is a
bolt and one is a needle?

  1. A \(\frac{2}{21}\)
  2. B \(\frac{4}{21}\)
  3. C \(\frac{6}{21}\)
  4. D \(\frac{12}{21}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{6}{21}\)

Step-by-step Solution

Detailed explanation

2 Bolts, 2 Nuts, 3 Needles Total number of possible outcomes, when we choose 2 parts \(n(S)={ }^7 C_2=\frac{7 \times 6}{1 \times 2}=21\) Let E be the event that the parts drawn are bolt and needle.…