Question

The odds that a book will be favourably reviewed by3 independent critics are 5to 2,4 to3,3to4 respectively what is the probability that ,of three reviews, a majority will be favourable,?

Answer 1

R1, R2 and R3 be probability of favourable reviews

R1 = 5/7

R2 = 4/7

R3 = 3/7

For Majority atleast 2 should be favourable.

i.e. R1xR2xR3’ +R1x R2’xR3 + R1’xR2xR3 + R1R2R3 ( where R’ represent not favored)

Answer 2

Answer:

p1=5/7

p2=4/7

p3=3/7

for majority atleast 2 must be favoured

======above line is a golden line that is thinking point of qustion

so reqd prob =(p1p2p3)+p1'(p2p3)+(p1)p2'(p3)+(p1p2)p3'

=60/343+24/343+45/343+80/343

=209/343\

Step-by-step explanation: