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Diva has four pen stands of grey, red and purple colour. She also has four different crayons of white, violet, orange and grey colour. She picks one crayon and one pen stand at random. What is the probability that neither of the crayon and pen stand is grey?

Diva has four pen stands of grey, red and purple colour. She also has four different crayons of white, violet, orange and grey colour. She picks one crayon and one pen stand at random. What is the probability that neither of the crayon and pen stand is grey? Correct Answer 9/16

Given:

Diva has four pen stands of grey, red and purple colour. She also has four different crayons of white, violet, orange and grey colour.

Formula:

Probability that neither of the crayon and pen stand is grey = Probability that the pen stand is not grey × Probability that the crayon is not grey

Calculation:

Probability that neither of the crayon and pen stand is = (3/4) × (3/4) = 9/16

∴ Required probability = 9/16

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