The probability that A hits a target is 113 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?
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1) 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 at the target?
Answer:
Required probability =P(A∪B)
1−P(
A
ˉ
)P(
B
ˉ
)
we have,
P(
A
ˉ
)=1−
3
2
=
3
1
P(
B
ˉ
)=1−
5
3
=
5
2
⇒1−P(
A
ˉ
)P(
B
ˉ
)
=1−(
3
1
×
5
2
)=
15
13
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