1 ) If each element of a second order determinant is either zero or one,what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently,each value being assumed with probability 1/2).
2) Bag 1 contains 3 red and 4 black balls and Bag 2 contains 4 red and 5 black balls. One ball is transferred from Bag 1 to Bag 2 and then a ball is drawn from Bag 2.The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.
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2 Answers
11maddy
answer for
1)3/16 (u may check the answer by making determinants and checking)
total cases will be 24 (as each place can be filled in 2 ways)
for 2)use bayes principle to get the requisite answer
132.using bayes principle
Probab=(4/7*4/10)/(4/7*4/10+ 3/7*5/10)
