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Prakash wrote three exams - 1st paper, 2nd paper and 3rd paper. The probability that he passes the 1st paper is 3/5. If he passes in any paper, the probability that he passes the next paper is 7/10. Otherwise the probability is 9/10. What is the probability that he passes in all three papers?

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Prakash wrote three exams - 1st paper, 2nd paper and 3rd paper. The probability that he passes the 1st paper is 3/5. If he passes in any paper, the probability that he passes the next paper is 7/10. Otherwise the probability is 9/10. What is the probability that he passes in all three papers?
1). 0.234
2). 0.284
3). 0.294 
4). 0.264


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Answered by on | Votes 0 |

Probability of passing 1st paper = 3/5 

Probability of passing 2nd paper = 7/10

Probability of passing 3rd paper = 7/10 

∴ Probability that Prakash passes in all the three papers, 

= 3/5 × 7/10 × 7/10

= 147/500 

= 0.294

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