problem archive
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What is the probability of getting a number 8 in a single throw of a die? -
What is the probability of getting a number less than 7 in a single throw of a die? -
One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will (i) be an ace, (ii) not be an ace. -
Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. What is the probability... -
Savita and Hamida are friends. What is the probability that both will have (i) different birthdays? (ii) the same birthday? (ignoring a leap year). -
There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representati... -
A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be (i) white? (ii... -
Harpreet tosses two different coins simultaneously (say, one is of ₹ 1 and other of ₹ 2). What is the probability that she gets at least one head? -
In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 2 minutes after she starts playing... -
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in Fig. 14.2. What is the probability that it crashed insid... -
A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts whic... -
Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two nu... -
(i) The outcomes favourable to the event ‘the sum of the two numbers is 8’ denoted by E, are: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) (see Fig. 14.3) i... -
(ii) As you can see from Fig. 14.3, there is no outcome favourable to the event F, ‘the sum of two numbers is 13’. So, P(F) = \frac{0}{36} = 0 -
(iii) As you can see from Fig. 14.3, all the outcomes are favourable to the event G; ‘sum of two numbers \leq 12’. So, P(G) = \frac{36}{36} = 1 -
Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = ________ . (ii) The probability of an event that... -
Which of the following experiments have equally likely outcomes? Explain. (i) A driver attempts to start a car. The car starts or does not start. (ii)... -
Which of the following cannot be the probability of an event? (A) \(\frac{2}{3}\) (B) \(-1.5\) (C) 15% (D) 0.7 -
If \(P(E) = 0.05\), what is the probability of ‘not E’? -
A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out (i) a...