Class 10 Problem Set 5 Full One Shot | Chapter 5 Probability| 10th Maths | SSC Algebra Std X

🕒 Timestamps & Index:

00:00 - Introduction
00:26 - Q1 (1)
03:44 - Q1 (2)
05:40 - Q1 (3)
10:25 - Q1 (4)
13:27 - Q1 (5)
14:46 - Q2
18:40 - Q3 Method 1
22:53 - Q3 Method 2
25:18 - Q4
27:39 - Q5 Method 1
30:27 - Q5 Method 2
33:23 - Q6
35:57 - Q7
39:11 - Q8
43:10 - Q9
47:57 - Q10
53:29 - Q11
59:09 - Q12
01:03:53 - Q13
01:06:01 - Q14
01:09:08 - Q15
01:14:42 - Q16
01:18:10 - Q17

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Following questions of Maharashtra State Board Class 10 Maths Chapter 5 Probability Problem Set 5 of Standard 10 have been explained in the video:

1. Choose the correct alternative answer for each of the following questions.

(1) Which number cannot represent a probability ?
(A) 23 (B) 1.5 (C) 15 % D) 0.7
(2) A die is rolled. What is the probability that the number appearing on upper
face is less than 3 ?(A) 16 (B) 13 (C) 12 D) 0

(3) What is the probability of the event that a number chosen from 1 to 100 is a prime number ?
(A) 1 (B) 6 (C) 1 D) 13 5 25 4 50

(4) There are 40 cards in a bag. Each bears a number from 1 to 40. One card is drawn at random. What is the probability that the card bears a number which is a multiple of 5 ?
(A) 15 (B) 53 (C) 54 D) 13

(5) If n(A) = 2, P(A) = 15 , then n(S) = ?
(A) 10 (B) 52 (C) 52 D) 13

2. Basketball players John, Vasim, Akash were practising the ball drop in the basket. The probabilities of success for John, Vasim and Akash are 54 , 0.83 and 58% respectively. Who had the greatest probability of success ?

3. In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that - (1) The goalee will be selected. (2) A defender will be selected.

4. Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ?

5. A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, (1) a red balloon (2) a blue balloon (3) a green balloon.

6. A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick a pen at random. What is the probability that the pen is blue?

7. Six faces of a die are as shown below.If the die is rolled once, find the probability of(1) ‘A’ appears on upper face.(2) ‘D’ appears on upper face.

8. A box contains 30 tickets, bearing only one number from 1 to 30 on each. If one ticket is drawn at random, find the probability of an event that the ticket drawn bears (1) an odd number (2) a complete square number.

9. Length and breadth of a rectangular garden are 77 m and 50 m. There is a circular lake in the garden having diameter 14 m. Due to wind, a towel from a terrace on a nearby building fell into the garden. Then find the probability of the event that it fell in the lake.

10. In a game of chance, a spinning arrow comes to rest at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8.
All these are equally likely outcomes. Find the probability that it will rest at
(1) 8.(2) an odd number.(3) a number greater than 2. (4) a number less than 9.

11. There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that a card drawn shows,
(1) a natural number.
(2) a number less than 1.
(3) a whole number.
(4) a number is greater than 5.

12. A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is - (1) red. (2) not red (3) either red or white.

13. Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.

14. Out of 200 students from a school, 135 like Kabbaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected dosen't like Kabbaddi.

15. A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a -
(1) prime number (2) multiple of 4
(3) multiple of 11.

16. The faces of a die bear numbers 0, 1, 2, 3, 4, 5. If the die is rolled twice, then find the probability that the product of digits on the upper face is zero.

17. Do the following activity -
Activity I : Total number of students in your class, n(S) =Number of students from your class, wearing spectacles, n(A) =Probability of a randomly selected student wearing spectacles, P(A) = Probability of a randomly selected student not wearing spectacles, P(B) =

Activity II : Decide the sample space yourself and fill in the following boxes.