DRHS Prosthetics is a company that produces prosthetic hands. It is known that 2

Question

DRHS Prosthetics is a company that produces prosthetic hands. It is known that 2% of the prosthetic hands have faulty thumbs and 3% of the prosthetic hands have faulty fingers. Moreover, 1.25% of the prosthetic hands have both faulty thumbs and faulty fingers.

What is the probability that a randomly selected prosthetic hand has a faulty thumb or a faulty finger?

In one of his visits to his company, Dr H selects a prosthetic hand at random, takes a closer look, does some calculations and makes the following remark.

“% of the prosthetic hands have good thumbs”. Find .

What is the probability that a randomly selected prosthetic hand has a good thumb and good fingers?

What is the probability that a randomly selected prosthetic hand has a good thumb or good fingers?

On judgement day, from the batch of prosthetic hands produced at DRHS, three hands are chosen at random and tested one by one. The batch is rejected if two consecutive hands have faulty thumbs and faulty fingers. When the news of rejected batch reaches Dr H, he throws a tantrum and fires the entire manufacturing team. What is the probability that on any given judgement day the team keep their job?

Explanation / Answer

P(faulty thumb)=0.02, P(faulty fingers)=0.03 and P(Thumb and finger)=0.0125

Now we need to find P(Thumb or Finger)=P(Thumb)+P(finger)-P(thumb and Finger)=0.0375

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