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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.

Number of tickets = 10,000
Number of prize bearing tickets = 10
$rightwards double arrow$ Number of non-prize bearing tickets = 10000 - 10 = 9990
Two tickets are bought
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Event A: None of two tickets is prize bearing.
$rightwards double arrow$ $straight n left parenthesis straight A right parenthesis space equals space straight C presuperscript 9990 subscript 2$ (2 are drawn out of 9990 non-prize bearing tickets)

$rightwards double arrow$ The probability of not getting a prize, when two tickets are bought
$equals space straight P left parenthesis straight B right parenthesis space equals space fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals fraction numerator straight C presuperscript 9990 subscript 2 over denominator straight C presuperscript 10000 subscript 2 end fraction$

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.

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