In a box of 50 markers, 30 markers are either red or black and 20 are...

In a box of 50 markers, 30 markers are either red or black and 20 are missing their caps. If 12 markers are either red or black and are missing their caps, find the probability that a randomly selected marker is red or black or is missing its cap.

Solutions

Expert Solution

Solution-

Let A be the number of markers which are either red or black.

Red or Black (A) = 30

Let B be the number of markers which are missing their caps.

Missing cap (B) = 20

Let (A&B) be the number of markers which are either red or black and are missing their caps.

Red or black and missing cap (A&B) = 12

and the total number of markers = N = 50

Now,we calculate the total number of markers that are red or black or is missing its cap is -

Hence the probability of picking of those markers randomly is-

Hence, The probability that a randomly selected markeris red or black or is missing its cap is 0.76 .

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