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31. Probability
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Q17 of 249 Page 32

The probability that A hits a target is 1/3 and the probability that B hits it, is 2/5. What is the probability that the target will be hit, if each one of A and B shoots at the target?

Given,


Probability that A hits a target is 1/3


P(A)=


The probability that B hits it, is 2/5


P(b)=


P(target will be hit)=1–P(target will not be hit)


=1–P(neither A nor B hit the target)







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15

Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that the cards drawn are king, queen and jack.

16

An article manufactured by a company consists of two parts X and Y. In the process of manufacture of the part X, 9 out of 100 parts may be defective. Similarly, 5 out of 100 are likely to be defective in the manufacture of part Y. Calculate the probability that the assembled product will not be defective.

18

An anti–aircraft gun can take a maximum of 4 shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first, second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane?

19

The odds against a certain event are 5 to 2 and the odds in favour of another event, independent to the former are 6 to 5. Find the probability that (i) at least one of the events will occur, and (ii) none of the events will occur.

Questions · 249
31. Probability
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