There is 80% chance that a problem will be solved by a statistics student and 60% chance that it will be solved independently by a mathematics student

find the probabolity that it will be solved.

the probability that the problem will be solved by a statistics student = 80/100 = 4/5

the probability that the problem will not be solved by a statistics student = 1- 4/5 = 1/5

 

the probability that the problem will be solved by a mathematics student = 60/100 = 3/5

the probability that the problem will not be solved by a statistics student = 1- 3/5 = 2/5

 

the probability that the problem will not be solved by any of them = (1/5)*(2/5) = 2/25

 

the probability that the problem will be solved = 1 - 2/25 = 23 / 25

 

hope this helps you.

cheers!!

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Problem will be solvd when at least one of them solves it which is 1- Prob(none of them solves)

so Prob (prob is solved) = 1 - (0.2*0.4)= 1 - 0.08 = 0.92

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