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A is known to hit the target is 2 out of 5 shots, whereas B is known to hit the target is 3 out of 4 shots. Find the probability of the target being hit when they both try. Ans: 17/20

A is known to hit the target is 2 out of 5 shots, whereas B is known to hit the target is 3 out of 4 shots. Find the probability of the target being hit when they both try. Ans: 17/20

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Need All 7 to 12 questions answered. If you can't do all questions then kindly skip it.
7. A is known to hit the target is 2 out of 5 shots, whereas B is known to hit the target is 3 out of 4 shots. Find the probability of the target being hit when they both try. 8. If P(A) =0.4, P(B)=0.7 and P(A n B) = 0.3 find P(ĀNB) and P(Ā UB). Ans: 0.2, 0.7. 9. If A and B are two events such that P(A)=3/4 and P(B)=5/8, show that (i) P(A U B) > 3/4 (ii) 3/8 < P(A n B) < 5/8. 10. From a city population, the probability of selecting (i) a male or a smoker is 7/10, (ii) a male smoker is 2/5, and (iii) a male, if a smoker is already selected is 2/3. Find the probability of selecting (a) a non-smoker, (b) a male, (c) a smoker, if a male is first selected. Ans: (a) 2/5 (b) ½ (c) 4/5. 11. A bag contains 10 gold and 8 silver coins. Two successive drawings of 3 coins are made such that: (i) coins are replaced before the second trial, (ii) the coins are not replaced before the second trial. Find the probability that the first drawing will give 3 gold and the second Ans: 17/20 3 silver coins. Ans: (i) 35/3968 (ii) 28/1207 12. Two persons throw a dice alternately, till one of them gets a multiple of three and wins the game. Find their respective probabilities of winning.
Transcribed Image Text:7. A is known to hit the target is 2 out of 5 shots, whereas B is known to hit the target is 3 out of 4 shots. Find the probability of the target being hit when they both try. 8. If P(A) =0.4, P(B)=0.7 and P(A n B) = 0.3 find P(ĀNB) and P(Ā UB). Ans: 0.2, 0.7. 9. If A and B are two events such that P(A)=3/4 and P(B)=5/8, show that (i) P(A U B) > 3/4 (ii) 3/8 < P(A n B) < 5/8. 10. From a city population, the probability of selecting (i) a male or a smoker is 7/10, (ii) a male smoker is 2/5, and (iii) a male, if a smoker is already selected is 2/3. Find the probability of selecting (a) a non-smoker, (b) a male, (c) a smoker, if a male is first selected. Ans: (a) 2/5 (b) ½ (c) 4/5. 11. A bag contains 10 gold and 8 silver coins. Two successive drawings of 3 coins are made such that: (i) coins are replaced before the second trial, (ii) the coins are not replaced before the second trial. Find the probability that the first drawing will give 3 gold and the second Ans: 17/20 3 silver coins. Ans: (i) 35/3968 (ii) 28/1207 12. Two persons throw a dice alternately, till one of them gets a multiple of three and wins the game. Find their respective probabilities of winning.
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