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RD Chapter 13 Probability Ex 13.1 Solutions

Question - 51 : - What is the probability that an ordinary year has 53 Sundays ?

Answer - 51 : -


Question - 52 : - What is the probability that a leap year has 53 Sundays and 53 Mondays ?

Answer - 52 : -


Question - 53 : -
A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that :
(i) the sum of the two numbers that turn up is 8?
(ii) of obtaining a total of 6?
(iii) of obtaining a total of 10?
(iv) of obtaining the same number on both dice?
(v) of obtaining a total more than 9?
(vi) that the sum of the two numbers appearing on the top of the dice is 13?
(vii) that the sum of the numbers appearing on the top of the dice is less than or equal to 12?
(viii)that the product of numbers appearing on the top of the dice is less than 9.
(ix) that the difference of the numbers appearing on the top of the two dice is 2.
(x) that the numbers obtained have a product less than 16. [CBSE 2017]

Answer - 53 : -


Question - 54 : -
The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 1/4. The probability of selecting a white marble at random from the same jar is 1/3. If this jar contains 10 yellow
marbles. What is the total number of marbles in the jar?

Answer - 54 : -


Question - 55 : -
(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
(ii) Suppose the bulb drawn in (i) is not defective and not replaced. Now bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

Answer - 55 : -


Question - 56 : -
A box contains 90 discs which are numbered from 1 to 90. If one discs is drawn at random from the box, find the probability that it bears
(i) a two digit number
(ii) a perfect square number
(iii) a number divisible by 5.

Answer - 56 : -


Question - 57 : -
Two dice, one blue and one grey, are thrown at the same time. Complete the following table:
From the above table a student argues that there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10,11 and 12. Therefore, each of them has a probability 1/11. Do you agree with this
argument ?

Answer - 57 : -


Question - 58 : -
A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red ball, find the number of blue balls in the bag.
[CBSE 2007]

Answer - 58 : -


Question - 59 : - The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (i) heart (ii) queen (iii) clubs (iv) a face card (v) a queen of diamond.

Answer - 59 : -


Question - 60 : -
Two dice are thrown simultaneously. What is the probability that :
(i) 5 will not come up on either of them ?
(ii) 5 will come up on at least one ?
(iii) 5 will come up at both dice? [CBSE 2009]

Answer - 60 : -


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