Washington Cervantes

02/25/2023 · Primary School

Adam, Brian, and Chris fire one shot each at a target. The probability that Adam will hit the target is 1/5. The probability that Brian will hit the target is \( 1 / 4 \). The probability that Chris will hit the target is 1/3. If they fire together, calculate the probability that i. All three shots hit the target, ii. Chris' shot only hits the target, iii. At least one shot hits the target, iv. Exactly two shots hit the target. Question 5 ( 30 marks) A card is drawn at random from a pack of 52 cards and is then replaced. Let \( A \) denote the event 'an ace is drawn,' and let \( R \) denote the event 'a red card is drawn.' Calculate the values of \( P(A), P(R), P(A \) \( n R) \) and \( P(A ~ u ~ R) \). If this experiment is performed 4 times, find the probability