Probability — Class 10 solved problems

22 problems from this chapter, each solved step by step.

A bag contains 5 red balls and 7 black balls. Two balls are drawn at random one after another without replacement. Find the probability that both drawn balls ar
The probability that both drawn balls are red is (5)/(33).
A card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that it is (a) a king, (b) a red card, and (c) a face card.
The probability of drawing (a) a King is (1)/(13), (b) a red card is (1)/(2), and (c) a face card is (3)/(13).
1. A pair of fair dice is thrown. If the two numbers appearing are different, find the probability p that: (a) the sum is 6; (b) an ace appears; (c) the sum is
The probability that all three students selected are boys is (11)/(28).
One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be (i) a diamond (ii) n
(i) The probability of drawing a diamond is (1)/(4). (ii) The probability of not drawing an ace is (12)/(13). (iii) The probability of drawing a black card is (
A coin is tossed three times, consider the following events. A: 'No head appears', B: 'Exactly one head appears' and C: 'Atleast two heads appear'. Do they form
Yes, the events A, B, and C form a set of mutually exclusive and exhaustive events.
Two dice are thrown at the same time and the product of the numbers appearing on them is noted. The probability that the product of the numbers lies between 8 a
The probability that the product of the numbers lies between 8 and 13 is (7)/(36).
All queens, jacks and aces are removed from a pack of 52 playing cards. The remaining cards are well-shuffled and one card is picked up at random from it. The p
The probability of that card to be a king is (1)/(10).
The probability of getting a chocolate flavoured ice cream at random, in a lot of 600 ice creams is 0.055. The number of chocolate flavoured ice creams in the l
33
Assertion (A): A fair die is thrown once. The probability of getting a prime number is (1)/(2). Reason (R): A natural number is a prime number if it has only tw
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
Assertion (A): Two players, Sania and Ashnam play a tennis match. The probability of Sania winning the match is 0.79 and that of Ashnam winning the match is 0.2
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
A number is chosen from the numbers 1, 2, 3 and denoted as x, and a number is chosen from the numbers 1, 4, 9 and denoted as y. Then P(xy < 9) is:
P(xy < 9) = (5)/(9)
Lali tosses two different coins simultaneously. The probability that she gets at most one head is:
The probability that she gets at most one head is (3)/(4).
In a family of two children, the probability of having at least one girl is:
The probability of having at least one girl is (3)/(4).
(a) An unbiased die is thrown once. Find the probability of getting (i) a number greater than 3 (ii) an even prime number. OR (b) A box contains 5 red, 8 white
(a) (i) (1)/(2) (ii) (1)/(6) OR (b) (i) (8)/(17) (ii) (13)/(17)
Assertion (A): The probability of drawing a red face card, at random, from a well-shuffled pack of 52 playing cards is (3)/(26). Reason (R): The number of face
Assertion (A) is true, but Reason (R) is false.
Two dice are thrown together. The probability of getting the same number on both dice, is:
The probability of getting the same number on both dice is (1)/(6).
In a family of two children, the probability of having at most one boy, is:
The probability of having at most one boy is (3)/(4).
One die has two faces marked 1, two faces marked 2, one face marked 3 and one face marked 4. Another die has one face marked 1, two faces marked 2, two faces ma
(1)/(2)
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.
(i) The probability that the card will be an ace is (1)/(13). (ii) The probability that the card will not be an ace is (12)/(13).
स्मोकिंग से फेफड़ों की परेशानियों का खतरा बढ़ जाता है। Your Lungs / Smoke LUNG CANCER STOP SMOKING Secondhand Smoke Cough Coughing up blood Hoarseness Wheezing
(i) चुने गए व्यक्ति के महिला होने की प्रायिकता 0.4 है। (ii) यदि एक पुरुष चुना गया है तो उसे फेफड़ों की समस्या न होने की प्रायिकता 0.83 है। (iii) (a) यदि यादृच्छ
A bag contains 9 discs of which 4 are red, 3 are blue and 2 are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calcula
(i) P(Red) = (4)/(9), (ii) P(Yellow) = (2)/(9), (iii) P(Blue) = (1)/(3), (iv) P(Not Blue) = (2)/(3), (v) P(Either Red or Blue) = (7)/(9)
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 representative. She wr
(i) The probability that the name written on the card is the name of a girl is (5)/(8). (ii) The probability that the name written on the card is the name of a

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