Probability quiz

1. Question 1 of 10

   Find the probability of not getting a face card when a card is drawn from a well shuffled deck of 52 cards.

   • AOption A: 1/4
   • BOption B: 2/13
   • COption C: 3/13
   • DOption D: 10/13
   • EOption E: None of these
2. Question 2 of 10

   Number of red, green and blue balls in a bag is (x+1), x and (x+3) respectively. If the probability of drawing a red and a green ball one after another and without replacement is 1/6, then find the probability of drawing a green ball.

   • AOption A: 0.2
   • BOption B: 0.375
   • COption C: 0.4
   • DOption D: 0.25
   • EOption E: None of these
3. Question 3 of 10

   A bag contains 25 marbles out of which 10 are white and rest are red and black marbles in the ratio of 3:2 respectively. If two marbles are drawn from the bag one after another and without replacement then find the probability of getting a red and a white marble.

   • AOption A: 0.3
   • BOption B: 0.5
   • COption C: 0.2
   • DOption D: 0.15
   • EOption E: None of these
4. Question 4 of 10

   Anushka has two buckets P and Q. Bucket P contains 6 green and 8 blue balloons. Bucket Q contains 6 green and 6 blue balloons. One balloon is drawn from one of the buckets chosen at random. What is the probability that the balloon drawn is blue?

   • AOption A: 15/28
   • BOption B: 13/28
   • COption C: 17/28
   • DOption D: 23/28
   • EOption E: 11/28
5. Question 5 of 10

   A bag contains (2x+y) red balls, 32 black balls and (3x−y) yellow balls. The probability of picking a red ball at random is 4/13 while the probability of picking a yellow ball at random is 1/13. Find the value of (x+y).

   • AOption A: 18
   • BOption B: 14
   • COption C: 20
   • DOption D: 16
   • EOption E: 12
6. Question 6 of 10

   Bag A contains 7 White and 8 Black balls, while Bag B contains 6 White and 5 Black balls. If 5 balls are drawn at random from each bag, find the product of the probability that 3 White and 2 Black balls are drawn from Bag A and 2 White and 3 Black balls are drawn from Bag B.

   • AOption A: 600/4719
   • BOption B: 500/4719
   • COption C: 256/4719
   • DOption D: 454/4719
   • EOption E: 700/4719
7. Question 7 of 10

   A bag contains 10 blue, 8 green and 12 white balls. If 2 balls are picked without replacement from the bag at random, then find the probability that the first ball is blue and the second ball is either green or white.

   • AOption A: 20/87
   • BOption B: 25/87
   • COption C: 37/87
   • DOption D: 38/87
   • EOption E: None of these
8. Question 8 of 10

   Bag A contains 3 white and 5 black balls whereas bag B contains 8 white and 4 black balls. If all the balls from given two bags are mixed into a bigger bag and after that two balls are drawn at random, then find the probability that both the balls are black in colour.

   • AOption A: 5/38
   • BOption B: 8/95
   • COption C: 17/57
   • DOption D: 4/19
   • EOption E: 18/95
9. Question 9 of 10

   Probability of Rohan, David and Heera speaking truth is 1/4, 4/7 and 2/5 respectively. Find the probability that at most one of them speaks truth.

   • AOption A: 9/14
   • BOption B: 13/14
   • COption C: 5/14
   • DOption D: 3/14
   • EOption E: None of these
10. Question 10 of 10

    There are 5 red balls and 3 blue balls in a bag. If 5 balls are drawn at random then what is the probability of getting at least 2 blue balls.

    • AOption A: 3/8
    • BOption B: 5/7
    • COption C: 4/9
    • DOption D: 7/11
    • EOption E: None of these

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