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- Probability : Solution of NCERT Exercise 4.3

**Exercise 3**

**1. List the outcomes you can see in these experiments.**

(a) Spinning a wheel

**Answer:** The List of Events is as follows: A, B, C, D

**(b) Tossing two coins together**

**Answer:** There will be following combinations of Head and Tail if two coins are tossed together:

HH, HT, TH, TT

**2. When a die is thrown, list the outcomes of an event of getting**

**(i) (a) a prime number (b) not a prime number.**

**(ii) (a) a number greater than 5 (b) a number not greater than 5.**

**Answer:** List of events when a die is thrown:

1, 2, 3, 4, 5, 6

(i) List of Prime Numbers: 2, 3, 5

(ii) List of Non-prime numbers: 1, 4, 6

(iii) List of Number >5: 6

(iv) List of Number Not greater than 5: 1, 2, 3, 4, 5

**3. Find the.**

**(a) Probability of the pointer stopping on D in (Question 1-(a))?**

**Answer:** Total number of events = 5

No. of favourable outcome = 1

So, probability of favourable outcome =

**(b) Probability of getting an ace from a well shuffled deck of 52 playing cards?**

**Answer:** Total Number of events = 52

Number of Favourable outcomes = 4 (because there are 4 aces in a pack of cards)

Probability of favourable outcome:

**(c) Probability of getting a red candies. (See figure below)**

**Answer:** Total number of events = 7

Number of Favourable outcomes = 4

Probability of favourable outcomes =

== **4. Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of .**

**(i) getting a number 6?**

**(ii) getting a number less than 6?**

**(iii) getting a number greater than 6?**

**(iv) getting a 1-digit number?**

**Answer:** Total number of events = 10

Number of favourable events for getting number 6 = 1

5. If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non blue sector?

**Answer:** Total number of events = 5

6. Find the probabilities of the events given in Question

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