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AP EAMCET202125 Aug 2021Evening ShiftMathematicsProbabilityActual

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?

Options

  1. A2 21
  2. B4 21
  3. C6 21
  4. D12 21

Correct answer

C. 6 21

Step-by-step solution

2 Bolts, 2 Nuts, 3 Needles Total number of possible outcomes, when we choose 2 parts n(S)= ^7 C₂= 7 6 1 2 =21 Let E be the event that the parts drawn are bolt and needle. array ll & n(E)= ^2 C₁ ^3 C₁=6 & P(E)= n(E) n(S) = 6 21 array

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