Q.23. A certain team win with probability 0.7, loses with probability 0.2 and ties with probability 0.1. Then team plays three games. Find the probability that the team wins at least two of the games but not lose.
 

Dear Student,


The probability that team wins atleast two of the 3 games but don't lose anyfor this there are two casescase 1) win all 3probability =0.7×0.7×0.7case 2) win 2 and 1 tieprobability=0.7×0.7×0.1now there are 3 cases for 1 drawWWD,DWW,WDWHence probability=3×0.7×0.7×0.1Hence total probability=3×0.7×0.7×0.1+0.7×0.7×0.7=0.343+0.147=0.49

Regards,

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