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RD Chapter 13 Probability Ex 13.1 Solutions

Question - 41 : -
Fill in the blanks :
(i) Probability of a sure event is …….
(ii) Probability of an impossible event is …….. .
(iii) The probability of an event (other than sure and impossible event) lies between …… .
(iv) Every elementary event associated to a random experiment has ……… probability.
(v) Probability of an event A + Probability of event ‘not A’ = …….. .
(vi) Sum of the probabilities of each outcome in an experiment is ……… .

Answer - 41 : -

(i) Probability of a sure event is 1.
(ii) Probability of an impossible event is 0 (zero).
(iii) The probability of an event (other than sure and impossible event) lies between 0 and 1
i. e., 0 < probability <1.
(iv) Every elementary event associated to a random experiment has equal probability.
(v) Probability of an event A + Probability of event ‘not A’ = 1 (∵ A¯ + A = 1)
(vi) Sum of the probabilities of each outcome in an experiment is 1.

Question - 42 : -
Examine each of the following statements and comment:
(i) If two coins are tossed at the same time, there are 3 possible outcomes two heads, two tails, or one of each. Therefore, for each outcome, the probability of occurrence is 1/3.
(ii) If a die is thrown once, there are two possible outcomes an odd number of an even number. Therefore, the probability of obtaining an odd number is 1/2 and the probability of obtaining an even number is 1/2.

Answer - 42 : -


Question - 43 : - A box contains 100 red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be (i) a blue card (ii) not a yellow card (iii) neither yellow nor a blue card. [CBSE 2012]

Answer - 43 : -


Question - 44 : - A box contains cards numbered 3,5,7,9, .., 35,37. A card is drawn at random from the box. Find te probability that the number on the drawn card is a prime number. [CBSE 2013]

Answer - 44 : -


Question - 45 : - A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is (i) extremely patient (ii) extremely kind or honest. Which of the above you prefer more. [CBSE 2013]

Answer - 45 : -


Question - 46 : -
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is [CBSE 2014]
(i) not divisible by 3
(ii) a prime number great than 7
(iii) not a perfect square number.

Answer - 46 : -


Question - 47 : -
A piggy bank contains hundred 50 paise, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coins which fell
(i) will be a 50 paise win
(ii) will be of value more than ₹1
(iii) will be of value less than ₹5
(iv) will be a ₹1 or ₹2 coins [CBSE 2014]

Answer - 47 : -


Question - 48 : -
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is
(i) an odd number
(ii) a multiple of 5
(iii) a perfect square
(iv) an even prime number. [CBSE 2014]

Answer - 48 : -


Question - 49 : -
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is
(i) divisible by 2 or 3
(ii) a prime number [CBSE 2015]

Answer - 49 : -


Question - 50 : -
In a simultaneous throw of a pair of dice, find the probability of getting.
(i) 8 as the sum
(ii) a doublet
(iii) a doublet of prime numbers
(iv) a doublet of odd numbers
(v) a sum greater than 9
(vi) an even number on first
(vii) an even number on one and h multiple of 3 on the other
(viii)neither 9 nor 11 as the sum of the numbers on the faces
(ix) a sum less than 6
(x) a sum less than 7
(xi) a sum more than 7
(xii) at least once
(xiii)a number other than 5 on any dice.
(xiv) even number on each die [CBSE 2014,2015]
(xv) 5 as the sum [CBSE 2014,2015]
(xvi) 2 will come up at least once [CBSE 2015]
(xvii) 2 will not come either time [CBSE 2015]

Answer - 50 : -


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