Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Probability

Short Answer Type

471. Two cards are drawn simultaneously from a pack of 52 well shuffled cards. Find the probability that both cards are red.

111 Views

472. Two cards are drawn simultaneously from a pack of 52 well shuffled cards. Find the probability that one card is red and one is black.

112 Views

473. In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy one ticket.

122 Views

474. In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy two tickets.

120 Views

475. In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy ten tickets.

Number of tickets = 10,000
Number of prize bearing tickets = 10
$rightwards double arrow$ Number of non-prize bearing tickets = 10000 - 10 = 9990
Three tickets are bought
$rightwards double arrow$ n(S) = $straight C presuperscript 10000 subscript 3$
Event A: None of the three tickets is prize bearing.
$rightwards double arrow$ P(A) = $straight C presuperscript 9990 subscript 3$
$rightwards double arrow$ Probability of not getting a prize, when three tickets are bought

$equals straight P left parenthesis straight A right parenthesis equals fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals fraction numerator straight C presuperscript 9990 subscript 3 over denominator straight C presuperscript 10000 subscript 3 end fraction$

131 Views

476.

In a lottery, there are 35 tickets in all, 10 bearing prize numbers and 25 are blanks. A lady draws 2 tickets at random. What is the probability that she will win one prize.

103 Views

477. In a lottery, there are 35 tickets in all, 10 bearing prize numbers and 25 are blanks. A lady draws 2 tickets at random. What is the probability that she will win two prizes?

105 Views

478. In a lottery, there are 35 tickets in all, 10 bearing prize numbers and 25 are blanks. A lady draws 2 tickets at random. What is the probability that she will win no prize?

98 Views

Long Answer Type

479.

A bag contains 3 red balls bearing numbers 1, 2, 3 (one number on one ball) ; and two black balls bearing numbers 4 and 6. A ball is drawn, its number noted and the ball is replaced in the bag. Then another ball is drawn and its number noted. Find the probability of drawing:

(i) 2 on the first draw and 6 on the second draw.

(ii) a number ≤ 2 on the first draw and 4 on the second draw.

(iii) a total of 5.

189 Views

Short Answer Type

480. The number lock of a suitcase has 4 wheels, each labelled with 10 digits i.e., from 0 to 9. The lock opens with a sequence of 4 digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase?

127 Views