CRE 6 - Conditional Probability | Modern Math - Probability
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2 unbiased die are rolled simultaneously. The numbers that appear on the two dice are different. Find the probability that the sum is 6.
- (a)
5/36
- (b)
1/9
- (c)
2/15
- (d)
None of these
Solution
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Report2 integers are selected at random from the integers 1 to 11. The sum of these 2 integers is even. Find the probability that both the selected integers are odd.
- (a)
2/5
- (b)
3/5
- (c)
5/22
- (d)
None of these
An unbiased dice is rolled twice and the sum of the two roll outcomes is 6. What is the conditional probability that the number 4 has appeared at least once?
- (a)
2/5
- (b)
3/5
- (c)
5/22
- (d)
None of these
2 cards are drawn at random from a well shuffled pack of 52 cards. Both the cards turn out to be red. Find the probability that both the cards have different numbers on them. (Assume that Ace, Jack, Queen & King are not considered as numbered cards.)
- (a)
18/65
- (b)
64/325
- (c)
144/325
- (d)
288/325
Three urns contain red and black balls. The first urn contains 6 red & 4 black balls. The second urn contains 4 red & 6 black balls. The third urn contains 5 red & 5 black balls. An urn is selected at random and a ball is drawn from it. If the ball drawn is red, find the probability that it is drawn from the first urn.
- (a)
2/5
- (b)
4/5
- (c)
4/15
- (d)
1/3