# LADY GAGA JINGLE CONTEST

**Discrete Mathematics**Level 4

B and C are the only two persons who will enter the LADY GAGA JINGLE CONTEST . Only one entry is allowed per contestant and the judge will declare the one winner as soon as he receives a suitably inane entry , which may be never . B writes inane jingles rapidly but poorly. He has probability 0.7 of submitting his entry first . If C has not already not won the contest, B will be declared the winner with probability 0.3 . C writes slowly, but he has a gift for this sort of thing. If B has not already won the contest by time of C's entry , C will be declared the winner with probability 0.6 ......

If

x= probability that B wins

y= probability that's C's entry arrived first , given that B wins (only for this case)

z= probability that first entry wins the contest

FIND .... x+y+z....

(Enter answer upto 3 decimal places)

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