CBSE Class 10 Probability Important Questions Worksheet
1.A die is thrown once. Find the probability of getti ng:
(i) a prime number
(ii) a number lying between 2 and 6
(iii) an odd number
2.Cards marked with numbers 1,2,3,...25 are placed in a box and mixed thoroughly and one card is drawn at random from the box, what is the probab ility that the number on the card is
(i) a prime number?
(ii) a multiple of 3 or 5?
(iii) an odd number?
(iv) neither divisible by 5 nor by 10?
(v) perfect square?
(vi) a two-digit number?
3.From a pack of 52 playing cards, jacks, queens, kin gs and aces of red colour are removed. From the remaining a card is drawn at random. Find the p robability that the card drawn is
(i) a black queen,
(ii) a red card,
(iii) a black jack,
(iv) a honorable card
4.A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red, find the number of blue balls in the bag.
5.A bag contains 5 red and some blue balls,
(i) If probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.
(ii) If probability of drawing a blue ball from the bag is four times that of a red ball, find the number of blue balls in the bag.
6.Two customers Shyam and Ekta are visiting a particu lar shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) th e same day? (ii) consecutive days? (iii) different days?
6.Cards marked with numbers 3, 4, 5, ... ........ ...., 50 are placed in a bag and mixed thoroughly. One card is drawn at random from the bag. Find the probability that number on the card drawn is:
a . Divisible by 7.
b . A perfect square.
C.Prime number
7.A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Anand wins if all the tosses give the same result i.e., three heads or three tails and loses otherwise. Calculate the probability that Anand will lose
8.Find the probability that a leap year selected at random will contain 53 sundays.
9.12 defective pens are mixed with 120 good ones. One pen is taken out at random from this lot. Determine the probability that the pen taken out is not defected
10.A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two digit number (ii) a perfect square number (ii) a number divisible by 5
10.A box contains 5 Red balls, 8 white balls and 4 Green balls. One ball is taken out of the box at random. What is the probability that ball is (i) red; (ii) white; (iii) Not
11.A die is thrown twice. What is the probability of getting : (i) The Sum of 7; (ii) The sum of greater than 10; (iii) 5 will
1.A die is thrown once. Find the probability of getti ng:
(i) a prime number
(ii) a number lying between 2 and 6
(iii) an odd number
2.Cards marked with numbers 1,2,3,...25 are placed in a box and mixed thoroughly and one card is drawn at random from the box, what is the probab ility that the number on the card is
(i) a prime number?
(ii) a multiple of 3 or 5?
(iii) an odd number?
(iv) neither divisible by 5 nor by 10?
(v) perfect square?
(vi) a two-digit number?
3.From a pack of 52 playing cards, jacks, queens, kin gs and aces of red colour are removed. From the remaining a card is drawn at random. Find the p robability that the card drawn is
(i) a black queen,
(ii) a red card,
(iii) a black jack,
(iv) a honorable card
4.A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red, find the number of blue balls in the bag.
5.A bag contains 5 red and some blue balls,
(i) If probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.
(ii) If probability of drawing a blue ball from the bag is four times that of a red ball, find the number of blue balls in the bag.
6.Two customers Shyam and Ekta are visiting a particu lar shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) th e same day? (ii) consecutive days? (iii) different days?
6.Cards marked with numbers 3, 4, 5, ... ........ ...., 50 are placed in a bag and mixed thoroughly. One card is drawn at random from the bag. Find the probability that number on the card drawn is:
a . Divisible by 7.
b . A perfect square.
C.Prime number
7.A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Anand wins if all the tosses give the same result i.e., three heads or three tails and loses otherwise. Calculate the probability that Anand will lose
8.Find the probability that a leap year selected at random will contain 53 sundays.
9.12 defective pens are mixed with 120 good ones. One pen is taken out at random from this lot. Determine the probability that the pen taken out is not defected
10.A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two digit number (ii) a perfect square number (ii) a number divisible by 5
10.A box contains 5 Red balls, 8 white balls and 4 Green balls. One ball is taken out of the box at random. What is the probability that ball is (i) red; (ii) white; (iii) Not
11.A die is thrown twice. What is the probability of getting : (i) The Sum of 7; (ii) The sum of greater than 10; (iii) 5 will
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