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
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