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Math Assignment Ch-14 Class X | Probability
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a) A face card [Ans 3/13]
b) A red face card [Ans 3/26]
c) A spade card [Ans 1/4]
d) A king of red color [Ans 1/26]
e) A jack of heart [Ans 1/52]
f) An ace card [Ans 1/13]
g) A card of spade or ace [Ans 4/13]
h) Either king or queen [Ans 2/13]
i) Neither king nor queen [Ans 11/13]
j) Neither red nor queen [Ans 6/13]
k) 10 of black suit [Ans 1/26]
Q2. A bag contains 3 white, 4 red, and 7 black balls. Find the probability of getting
a) A black ball [Ans 1/2]
b) A red or a black ball [Ans 11/14]
c) A red white or black ball [Ans 1]
d) Not a red ball [Ans 5/7]
e) Neither white nor black ball [Ans 2/7]
f) Not a white ball [Ans 11/14]
Q3. Two dice are thrown , what is the probability of getting
a) Difference of the numbers on the two dice is 2 [Ans 2/9]
b) Sum of numbers on the two dice is 10 [Ans 1/12]
c) Sum of numbers on two dice is more than 9 [Ans 1/6]
d) Six will come up at least once [Ans 11/36]
e) Both are odd number [Ans 1/4]
f) Six as a product. [Ans 1/9]
g) A doublet [Ans 1/6]
h) Getting same number [Ans 1/6]
i) Getting different number [Ans 5/6]
j) A total of 9 or 11 [Ans 1/6]
Q4. Using the digits 2, 4, 6 all possible two digit numbers are formed. Each digit being used only once. Find the probability of the number so formed is greater than 46 [Ans 1/3]
Q5. What is the probability of getting 53 Friday in
a) A Leap Year [Ans 2/7]
b) In a non leap year [Ans 1/7]
Q6. Cards marked with number 6, 7, 8, ……………15 are placed in a box. Find the probability of getting a number less than 10. Ans: 2/5
Q7. A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. Find the probability that it is
a) Not red [Ans 5/6]
b) A white ball [Ans 1/3]
Q8. When 3 coins are tossed find the probability of getting .
a)Two tails [Ans 3/8]
b) At least two tails [Ans 1/2]
c) At most two tails [Ans 7/8]
d) At most 3 heads [Ans 1]
e) At least 3 heads [Ans 1/8]
f) Exactly two heads [Ans 3/8]
Q9. When two unbiased coins are tossed. Then find the probability of getting.
a) Exactly one head [Ans 2/4 = 1/2]
b) Exactly one tail [Ans 2/4]
c) At least two tails [Ans 1/4]
d ) A most two tails [Ans 4/4 = 1]
e) Not less than one head [Ans 3/4]
f) No tail [Ans 1/4]
Q10. The King , Queen , and Jack of club are removed from a deck of 52 playing cards. One card is selected from the remaining cards. Find the probability of getting
a) A heart [Ans 13/49]
b) A club [Ans 10/49]
c) A king [Ans 3/49]
d) A 10 of heard [Ans 1/49]
Q 11. Find the probability that a number selected from 1, 2, 3, 4 ………., 35
a) A prime number [Ans 11/35]
b) A multiple of 7 [Ans 1/7]
c) Multiple of 3 or 5 [Ans 16/35]
Q 12. A letter of English alphabet is chosen at random. Find the probability that the letter is
a) A consonant [Ans 21/26]
b ) A vowel [Ans 5/26]
Q 13. In a word “MATHEMATICS” what is the probability of getting.
a) Letter M or A
b) Letter T
c) Letter E
Q 14. In a word PERMUTATION what is the probability of getting
a) A vowel
b) A consonant
Q 15. Three digit numbers are made using the digits 0, 5 and 7 (without repetition of digits). If a number among them is selected at random, what is the probability that the number
a) Will be a multiple of 5 [Ans 3/4]
b) Will be a multiple of 9 [Ans 0]
c) Will end with 7 [Ans 1/4]
d) Does not end with zero [Ans 2/4]
Q 16. Sum of the digits of two digit number is 12 . Write all possible numbers and find the probability of.
a) Getting odd number
b) Getting a number divisible by 4
c) Getting a number less than 30
d) Getting a number greater than 50
Hint : All possible numbers with sum 12 are: [39, 93, 48, 84, 57, 75, 66]
Q 17. A bag contains 5 red balls , 7 white balls, 5 green balls and 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball is
a) Red or Black
b) Not Green
c) Neither white nor Black
Q 18. A bag contains 48 balls of which x are red, 2x are white, 3x are blue. A ball is selected at random, what is the probability that it isa) not red
b) white
c) white or blue
Q 19. Three coins are tossed. What is the probability of getting
a) No Head
b) One Head
c) Two Head
d) Three Head
Q 20. Fill in the blanks
a) Probability of sure event…………
b) Probability of impossible event………
c) Range of probability…………
d) Probability of getting sum 13 in single through of a pair of dice………
e) P(E) + P(not E) = …………………..
f) What are equally likely events
a) 1 b) 0 c) 0 ≤ P(E) ≤ 1 d) 0 e) 1
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