3 individuals john wright, Greg Chappell and Gary Kristen are in the race for the appointment of new coach of team India. The probabilities 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 probability 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.
a. 0.63 b. 0.35 c. 0.18 d. 0.89
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Answer:
A. 0.63
Overall probability = (0.5*0.7)+(0.3*0.6)+(0.2*0.5)
= 0.63
= 63%
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