Maths Olympiad
Exam
Numerical Ability
The probability that A hits a target is 1/3 and the probability that B hits it is 2/5.What is the probability that the target will be hit , if each one of A and B shoots the Target?
Select one:
a. 1/6
b. 9/15
c. 5/6
d. 3/5
Read Solution (Total 4)
-
- 3/5
the target will only miss when both A and B will miss it.
prob of missing = 2/3*3/5 = 2/5
prob of hit = 1-(prob of each A and B missing) = 1-2/5 = 3/5 - 10 years agoHelpfull: Yes(4) No(1)
- total prob=1/3*3/5+2/3*2/5+1/3*2/5=9/15
- 10 years agoHelpfull: Yes(1) No(0)
- b.9/15
p(A)+p(B)=1/3 + 2/5 = 9/15
- 10 years agoHelpfull: Yes(0) No(2)
- a hit=1/3,a miss=2/3;
b hit=2/5,b miss=3/5;
so total hitting probability=1/3*3/5+2/5*2/3+1/3*2/5=9/15 - 10 years agoHelpfull: Yes(0) No(1)
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