Probability Important Questions
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January 11, 2016 |
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1. In an experiment there are only two possible outcomes. The probability of each outcome is 1/2 Is it true ? Give reason.
2. Two dice are thrown simultaneously. List the sample space for this experiment.
3. The king, Queen and Jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards. What is the probability of getting a heart?
4. A girl tosses a coin 3 times and gets a tail each time. Do you think that the outcome of next toss will be a tail? Justify your answer.
5. I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1 /4 . What is wrong with this conclusion?
6. A card is drawn at random from an ordinary pack of 52. What is the probability that the card is an black king?
7. One number is chosen at random from the whole numbers 1 to 100 inclusive. What is the probability that the number has two digits?
8. Two dice are thrown together. Find the probability that the sum of the digits showing on the top faces of the dice is less than 5.
9. Find the probability that the month of February may have 5 Sundays in a leap year.
10. A girl throws a die and squares the number that appears on it. A boy throws two dice once and computes the product of numbers appearing on the dice. Who has the better chance of getting the numbers 36. Give reason.
also read:-arithmetic progression
11. A coin is tossed 6 times and on each occasion a head is obtained. Can we say that the probability of getting a head is 1? Give reasons.
12. Three unbiased coins are tossed together. Find the probability of getting either all heads or all tails.
13. Two dice are thrown simultaneously. Find the probability that the difference of the numbers on the two dice is 2.
14. A coin is tossed two times. Find the probability of getting at most one head.
15. A letter of English alphabet is chosen at random. Determine the probability that the letter is a consonant
.B. Questions From CBSE Examination Papers
1. A bag contains 14 balls, of which x are white. If 6 more white balls are added to the bag, the probability of drawing a white ball is 1 /2 . Find the value of x.
2. Cards marked with numbers 13, 14, 15, ......... 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card is :
(a) divisible by 5
(b) a number which is a perfect square.
3. A die is thrown once. Find the probability of getting :
(a) a prime number
(b) a number less than 6
4. A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at
(a) a prime number ? (b) a factor of 8 ?
5. A card is drawn at random from a pack of well shuffled deck of playing cards. Find the probability
that the card is :
(a) a king or a jack
(b) a card of spade or an ace
6. A bag contains 2 green, 3 red and 4 black balls. A ball is taken out of the bag at random. Find the probability that the selected ball is (a) not green (b) not black.
7. A bag contains cards numbered from 2 to 26. One card is drawn from the bag at random. Find the probability that it has a number divisible by both 2 and 3.
8. In a leap year, find the probability that there are 53 Tuesdays in the year.
9. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a red face card.
10. Two dice are thrown simultaneously. Find the probability that the sum of the two numbers appearing on their tops is less than or equal to 10.
11. A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.
12. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from the bag. Find the probability of getting neither a green ball nor a red ball.
13. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is thrice that of a red ball, find the number of blue balls in the bag.
14. Two dice are thrown once. Find the probability of obtaining :
(a) a total of 6 of numbers on both dice.
(b) the same number on both dice.
15. From a group of 2 boys and 2 girls, two children are selected at random. What is the sample space representing the event. Find the probability that one boy and one girl is selected.
16. A letter is chosen at random from the English alphabet. Find the probability that it is (a) a vowel (b) a consonant
17. A fair coin is tossed thrice Find the probability of getting.
(a) No heads (b) at least one head.
18. A box contains cards numbered from 1 to 17. If one card is drawn at random from the box, find the probability that it bears a prime number.
19. From a deck of playing cards all spades are removed, a card is drawn at random from the remaining cards. Find the probability that it is a :
(a) red card (b) black face card
20. A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that
card drawn is :
(a) spade or an ace
(b) neither king nor queen
21. Form a deck of playing cards all aces and clubs are removed, a card is drawn at random from the remaining cards. Find the probability that it is :
(a) a black face card. (b) a red card
22. A bag contains cards numbered 3 to 102, one card is drawn at random. Find the probability that it
is :(a) an even number
(b) a number divisible by 5
23. Two dice are thrown together. Determine the probability of 2 coming on the first die and multiple of 3 on other die.
24. Geeta and Sita are friends. What is the probability that both will have
(a) different birthdays ? (b) the same birthday ? (ignoring a leap year)
25. A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is :
(a) black or white (b) not black
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Sample paper 1
Sample paper 2
Sample paper 3
Sample paper 4
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Arithmetic Progression
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