an experiement succeeds twice as many times as it fails.find the chance that in 6 trials, there will be atleast 5 successes Solution proabbiltiy of success = 2/3 probabilty of fail = 1/3 no of trials : 6 when there are 5 success : 6C5(2/3)5 (1/3) when there are 6 success : (2/3)6 total = [ (2/3)6 + 2*(2/3)5 ] = (2/3)5 .(2/3 + 2) = (2/3)5 .(8/3) = 256/729 answer 0.3511 answer !!!!.

1. an experiement succeeds twice as many times as it fails.find the chance that in 6 trials, there will
be atleast 5 successes
Solution
proabbiltiy of success = 2/3
probabilty of fail = 1/3
no of trials : 6
when there are 5 success : 6C5(2/3)5 (1/3)
when there are 6 success : (2/3)6
total = [ (2/3)6 + 2*(2/3)5 ] = (2/3)5 .(2/3 + 2) = (2/3)5 .(8/3) = 256/729 answer
0.3511 answer !!!!