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S1 probability question hel/p?
I need help with a few probabiltity questions which i am doing from my s1 book:
3) Two fair dice are thrown and the product of the numbers on the dice is recorded. Given that one die lands on 2, find the probability that the product on the dice is:
a) Exactly 6
b) More than 5
4) A and B are two events such that P(A)=0.6, P(B)=0.5 and P(A ∩ B)=0.4, Find:
a) P(A U B)
b) P(B I A)
c) P(A I B)
d) P(A I B')
Please can someone help me with these questions? Many thans
2 Answers
- KenLv 59 years agoFavorite Answer
P(A) can be expressed as P(A int B)+P(A int B')
P(A int B')=P(A)-P(A int B)=0.2
P(A/B')= P(A int B')/P(B')=2/5
- cidyahLv 79 years ago
3)
If one die lands on 2, we have
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(1,2),(3,2),(4,2),(5,2),(6,2)
The products are 2,4,6,8,10,12,2,6,8,10,12
a) P( product is exactly 6) = 2/11
b) P( product more than 5) = 8/11
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4)
a)
P(A U B) = P(A) + P(B) -P(A â© B) = .6 +.5 -.4 = .7
b)
P(B/A) = P(B â© A)/P(A) = P(A â© B)/P(A) = .4/.6 = 2/3
c)
P(A/B) = P(A â© B)/P(B) = .4 / .5 = 4/5
d)
P(A/B') = P(A) - P(A â© B) = .6-.4 = .2
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