Probability

Q-PROB-1Q.64

A bag contains 6 Red, 5 Green and 4 Yellow coloured balls. 2 balls are drawn at random after one another without replacement then what is the probability that atleat one ball is Green.

1. (a) 2/3
2. (b) 4/5
3. (c) 3/8
4. (d) 4/7
5. (e) 2/7

Note: option fractions are stacked in source

Q-PROB-2Q.78

There are 5 red, 6 black and 5 blue balls in a bag. Out of these balls, four balls are picked at random from the bag. Then, what is the probability that one is red, two are black and one is blue ball?

1. (a) 75/362
2. (b) 75/364
3. (c) 71/362
4. (d) 70/363
5. (e) 5/26

Note: stacked fractions in options restored from PDF rendering

Q-PROB-3Q.71

Three are 5 green balls, 7 blue balls and 3 red balls in a bag. If 2 balls are chosen randomly from the bag, then find the probability that at least one ball is green ball.

1. (a) 1/9
2. (b) 2/7
3. (c) 3/8
4. (d) 3/5
5. (e) 4/7

Note: 'Three are' as printed in source.

Q-PROB-4Q.15

What is the probability of getting a sum equal to prime number when two dices are rolled together?

1. (a) 7/18
2. (b) 5/12
3. (c) 1/6
4. (d) 7/12
5. (e) 1/3

Note: options are stacked fractions in source

Q-PROB-5Q.66

A bag contains 8 red balls, 5 green balls and 7 black balls. If two balls are drawn from the bag randomly, then find the probability of getting exactly one red ball.

1. (a) 14/57
2. (b) 28/95
3. (c) 4/19
4. (d) 48/95
5. (e) None of the above.

Q-PROB-6Q.49

Two cards are drawn randomly from a pack of 52 cards. Then, find the probability of getting at least one 1 red king and 1 black king, if replacement is not allowed.

1. (a) 1/676
2. (b) 1/169
3. (c) 4/663
4. (d) 1/663
5. (e) 3/676

Note: Answer check: the keyed 1/663 assumes the red king is drawn first. If the order doesn't matter the probability is 2/663, which isn't an option. · options transcribed from images in source