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3 individuals john wright, greg chappell and gary kristen are in the race for the appointment of new coach of team india. the probablities of their appointment are 0.5, 0.3 and 0.2 respectively. if john wright is appointed then probability of ganguly appointed as a captain will be 0.7 and corresponding probablity if greg chappell or gary kristen is appointed are 0.6 and 0.5 respectively. find the overall probability that ganguly will appointed as a captain.

Answer»

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Answer; The over all probability formula is a ratio of number of FAVOURABLE outcome to the number of possible OUTCOMES.


Here, the probabilities of appointments as a NEW COACH of India of JOHN wright, Greg Chappell and Gary Kristen =0.5+0.3+0.2= 1.0. This is a number of favourable outcomes.


The possible outcomes will be

=0.7+0.6+0.5= 1.8


So, the overall probability =  Favourable outcome/ Possible outcome= 1/1.8= 0.555


It is a chance of 55.55 % or 0.5555 of Ganguly will be appointed as a captain.

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