1.A stationary box contains 3 fountain pens, 5 pencils and 9 ball pens. If four items are drawn at random one by one without replacement, find the probability of getting all ball pens?

1. 9/70
2. 9/17
3. 6/170
4. 9/170

2.19 apples in a carton have numbers written from 1 to 19. Three apples are taken out of the carton without replacement. What is the probability that all the apples have even numbers on them?

1. 6.8%
2. 11.15%
3. 8%
4. 17%

3.In an intelligence test, a person is shown some colored cards one by one fastly, out of which 65% of were blue and 35% were green. The probability of surity given third card is green is 90%. Use this information to deduce how likely is it that the third card actually was green if the provided surity is used?

1. 17.3%
2. 82.89%
3. 35%
4. 65%

4.A jar contains 7 marbles out of which 1 is red, 4 are yellow and 2 are blue. Two marbles are drawn at random with replacement, what is the probability of getting a blue or a red marble at the end of second trial?

1. 16/49
2. 8/49
3. 4/7
4. 3/7

5.Ali shows symptoms of Malaria and advised by the doctor to get tested for confirmation. The prescribed test method comes positive 85% of the time the patient actually has Malaria. The test method gives false positive 10% of the time, i.e when the patient does not have Malaria. If 1.5% of the population is affected by Malaria, what is the probability that Ali has been infected by Malaria provided he tested positive?

1. 11.41%
2. 95%
3. 7.48%
4. 85%

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