Elitmus
Exam
In a Chimp Zoo there are 1 billion monkeys. The probability that a monkey in the zoo has seen a Banyan tree is 0.6. The probabilty that a monkey has seen a mango tree is 0.65. What is the minimum percentage of monkeys in the zoo who have seen both the trees?
a 25%
b 39%
c 40%
d 60%
Read Solution (Total 6)
-
- we know that p(a&b)=p(a)*p(b) for independent events
here p(a)=0.6
p(b)=0.65
so p(a&b)= 0.6*0.65
= 0.39
ans 39% - 11 years agoHelpfull: Yes(23) No(14)
- .65-.4=.25
.25*100=25% - 11 years agoHelpfull: Yes(16) No(8)
- o.65*0.60/(100*100) = 39%.is the correct answer.(as both cases should happen).
p(A intersection B) = p(A)*p(B). as both are independent events. - 11 years agoHelpfull: Yes(4) No(0)
- P(a)*p(b)
0.65*0.6=0.39
hence answer is 39% - 9 years agoHelpfull: Yes(2) No(0)
- its 25%.
we know P(B)=60%
p(m)=65
p(m&b)=x
using venndiagram,
60-x+x+65-x=100
x=25 - 9 years agoHelpfull: Yes(1) No(3)
- For two independent events P(A and B) = P(A)*P(B)
=> P(monkey has seen a banyan tree and monkey has seen a mango tree) = P(monkey has seen a banyan tree) * P(monkey has seen a mango tree)
=> P(monkey has seen a banyan tree and monkey has seen a mango tree) = 0.6 * 0.65 = 0.39
So the percentage of monkeys who has seen both banyan tree and mango tree = 39% - 6 years agoHelpfull: Yes(0) No(0)
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