The probabilities that Alif, Kannan and Caili will pass an art examination are 4/5, 5/7, and 2/3 respectively. Find the probability that
(a) at least 1 of them will pass the art examination
(b) Only Alif will pass the art examination
1(a) Take the lesser of the probability
1 (b) 8/105
Correct me if i am wrong. TQ
Actually this question is a bit odd logically. How do you quantify artistic ability in probabilities?
My bad.
A little sidetrack here.
Originally posted by charlize:Actually this question is a bit odd logically. How do you quantify artistic ability in probabilities?
My bad.
A little sidetrack here.
Just treat as any other qns....maths qns sometimes odd odd one.....
Originally posted by SBS n SMRT:Just treat as any other qns....maths qns sometimes odd odd one.....
Maybe this question is actually asking you to think logically.
The correct answer is the one where the student asks the teacher what I just asked.
Originally posted by charlize:Maybe this question is actually asking you to think logically.
The correct answer is the one where the student asks the teacher what I just asked.
Trick qns maybe
Remember Men In Black?
When Will Smith was being tested on which monsters he will shoot, he chose the little girl who was holding the Higher level Physics textbook and not the other big fucking monstrous creatures.
That's logical thinking.
charlize is expert in probability and statistics.
probability is common sense reduced to calculation -- laplace
Originally posted by maurizio13:
charlize is expert in probability and statistics.
probability is common sense reduced to calculation -- laplace
Nonsense.
I failed maths in school.
Originally posted by charlize:Actually this question is a bit odd logically. How do you quantify artistic ability in probabilities?
My bad.
A little sidetrack here.
Bertrand's Paradox?
Originally posted by maurizio13:
Bertrand's Paradox?
Argh.
Stop confusing me.
Originally posted by SBS n SMRT:1(a) Take the lesser of the probability
1 (b) 8/105
Correct me if i am wrong. TQ
I think the answer for (a) is 103/105. But I do not know how to get that. You are right for part (b)
Originally posted by bonkysleuth:The probabilities that Alif, Kannan and Caili will pass an art examination are 4/5, 5/7, and 2/3 respectively. Find the probability that
(a) at least 1 of them will pass the art examination
(b) Only Alif will pass the art examination
P(all fail) = 1/5 x 2/7 x 1/3 = 2/105
P(at least one pass) = 1 - 2/105 = 103/105
Hi,
To learn the concept of probability completely, it is necessary to know some key points:
1. Addition principle of mutually exclusive events.
For example, probability that Kannan OR Caili will pass.
2. Multiplication principle of a series of events.
For example, probability that Kanna AND Caili will fail.
3. Probability of complementary event, P(A') = 1 - P(A).
For example, P(failure event) = 1 - P(passing event).
4. Mutually exclusive events A, B: A intersect B = empty set and P(A intersect B) = 0.
For example, Kanna cannot pass and fail at the same time.
5. Independent events A, B: P(A intersect B) = P(A) . P(B).
For example, the event that Alif will pass and the event that Caili will fail are independent.
Thanks!
Cheers,
Wen Shih