PROBABILITY
Class-10th
PRACTICE SHEET
1. One card is drawn from a well shuffled deck of 52 6. An urn contains 6 blue and 'a' green balls. If the
cards. probability of drawing a green ball is double that of
I. The probability that the card will be diamond, drawing a blue ball, then 'a' is equal to
is 1/2. (A) 6 (B) 18
II. The probability of an ace of heart is 1/52. (C) 24 (D) 12
III. The probability of not a heart is 3/4.
IV. The probability of king or queen is 1/26. 7. If in a lottery, there are 5 prizes and 20 blanks, then
Which of the statement(s) is/are true? the probability of getting a prize is
(A) I and II 2 4
(A) (B)
(B) II and III 5 5
(C) III and IV 1
(D) None of these (C) (D) 1
5
2. If a letter is chosen at random from the letter of 8. For an event E,P ( E ) + P(E) = q, then
English alphabet, then the probability that it is a
(A) 0 q 1 (B) 0 q 1
letter of the word 'DELHI' is
1 1 (C) 0 q 1 (D) None of these
(A) (B)
5 26
5 21 9. Three - digit numbers formed by using digits 0, 1,
(C) (D) 2 and 5 (without repetition) are written on different
26 26
slips with distinct number on each slip, and put in
3. Which of the following cannot be the probability of a bowl. One slip is drawn at random from the bowl.
an event? The probability that the slip bears a number
(A) 2/3 (B) –1/5 divisible by 5 is
(C) 15% (D) 0.7 5 4
(A) (B)
9 9
4. The probability of getting a number greater than 2 2 1
(C) (D)
in throwing a die is 3 3
2 1
(A) (B)
3 3 10. Assertion: The probability of winning a game is
4 1 0.4, then the probability of losing it is 0.6.
(C) (D) Reason: P(E) + P(not E) = 1
3 4
Show Answer
5. A single letter is selected at random from the word (A) Both Assertion (A) & Reason (R) are true, and
"PROBABILITY". The probability that the Reason (R) is the correct explanation of
selected letter is a vowel is Assertion (A).
2 3 (B) Both Assertion (A) & Reason (R) are true, but
(A) (B) Reason (R) is not the correct explanation of
11 11
Assertion (A).
4
(C) (D) 0 (C) Assertion (A) is true but Reason (R) is false.
11
(D) Assertion (A) is false but Reason (R) is true.
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ANSWER KEY
1. (B) 6. (D)
2. (C) 7. (C)
3. (B) 8. (D)
4. (A) 9. (A)
5. (C) 10. (A)
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