. The odds in favour of a solving a problem is 5:7 and odds against B solving the same problem is 9:6. What is the probability that if both of them try, the problem will be solved?
Answers
Step-by-step explanation:
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10th
Probability
Introduction to Theoretical Probability
The odds against A solving ...
MATHS
The odds against A solving a certain problem are 4 to 3, and the odds in favour of B solving the same problem are 7 to 5: what is the chane that the problem will be solved if they both try?
Easy
ANSWER
Let the two events be EA and EB
Odds against favour of one A are 4:3
⇒ odds in favour of A are 3:4
⇒ probability that a solves the problem =P(EA)=73
⇒probaility that A does not solve the problem =P(EA_)=1−73=74
Odds in favour of B are 7:5
⇒ probability that B solves the problem =P(EB)=127
⇒ probability that B does not solve the problem =P(EB_)=1−127=12
ANSWER
Let the two events be E
Aand E B
Odds against favour of one A are 4:3
⇒ odds in favour of A are 3:4
⇒ probability that a solves the problem=P(A )= 3/7
⇒probaility that A does not solve the problem =P( E A_ )=1−3/7 = 4
Odds in favour of B are 7:5
⇒ probability that B solves the problem =P(E B)=
12
7
⇒ probability that B does not solve the problem =P(
E
B
_
)=1−
12
7
=
12
5
Probability that problem is solved =P(E)=1−none of them solves the problem
⇒P(E)=1−P(
E
A
_
)P(
E
B
_
)
⇒P(E)=1−
7
4
×
12
5
=
84
64
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