Q1. Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honours(Ace,King,Queen,Jack).
Ans - `20/221`
Q2. A box contains 2 green, 3 red and 5 black balls, one ball is picked up randomly. What is the probability that it is neither red nor black?
Ans - `1/5`
Q3. Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being black honours
Ans - `14/663`
Q4. Three cards are drawn in succession from a pack of cards with replacement. Find the probability of the first card drawn being a club, the second card drawn being black and the third card being a non-honour card?
Ans - `9/104`
Q5. Two students Rishu and Nazma appeared in a test. The probability that Rishu will qualify the test is 0.2 and that Nazma will qualify the test is 0.15. The probability that both will qualify the test is 0.075. Find the probability that both will not qualify the test.
Ans - `0.725`
Q6. A committee of three members is selected from three men and three women. What is the probability that committee will have one man?
Ans - `9/20`
Q7. A card is drawn from a well shuffled pack of cards. Find the probability of it being a diamond.
Ans - `1/4`
Q8.Three dice are thrown simultaneously. Find the probability that all of them show the same face.
Ans - `1/36`
Q9. A card is drawn from a well shuffled pack of cards. Find the probability of it being a red king.
Ans - `1/26`
Q10. A card is drawn from a well shuffled pack of cards. Find the probability of it being a black numbered card.
Ans - `9/26`
Q11. Two cards are drawn simultaneously from a pack of cards. Find the probability that both are black or both are queens.
Ans - `55/221`
Q12. A bag contains 4 blue, 5 white and 6 red balls. Three balls are drawn at random. What is the probability that none of the balls drawn is white?
Ans - `24/91`
Q13. A card is drawn from a well shuffled pack of cards. Find the probability of it being a jack
Ans - `1/13`
Q14. Two cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Kings.
Ans - `1/221`
Q15. Total number of students in a class is 40. Ratio of number of boys to number of girls is 3:1. Two students are selected randomly for a speech competition. The probability that 1 boy and 1 girl are selected is :
Ans - `5/13`
