## Chapter 5 Data Handling Exercise 5.3

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

(a) Spinning a wheel

(b) Tossing two coins together

(a) Spinning a wheel

(b) Tossing two coins together

**a) There are four letters A, B, C and D in a spinning wheel. Therefore, there are 4 outcomes.**

**Answer:****Question 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:

(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:

i)

a) Outcomes of event of getting a prime number are 2, 3 and 5.

ii)

a) Outcomes of event of getting a number greater than 5 is 6.

**Question 3: Find the**

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

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

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

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

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

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

**Answer:**a)

Number of pointers in spinning wheel = 5

Number of sector where the pointer stops = 1 (D)

Probability of pointer stopping at D = 1/5

Number of aces in deck = 4

Total number of playing cards = 52

Probability of getting an ace = 4/52 = 1/13

c)

Total number of apples = 7

Total number of red apples = 4

Probability of getting red apple = 4/7

**Question 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:

(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:

i)

Number of slips = 10

Probability of getting number 6 in slip = 1

Probability of getting slip = 1/10

Number of slips = 10

Probability of getting number less than 6 in slip = 5 (1, 2, 3, 4, 5)

Probability of getting slip less than 6 = 5/10 = 1/2

iii)

Number of slips = 10

Probability of getting number greater than 6 in slip = 4 (7, 8, 9, 10)

Probability of getting slip greater than 6 = 4/10 = 2/5

iv)

Number of slips = 10

Probability of getting number with one-digit in slip = 9 (1, 2, 3, 4, 5, 6, 7, 8, 9)

Probability of getting slip with one-digit number = 9/10

**Question 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:

Answer:

Total number of sectors = 5

Number of sectors that are green = 3

Probability of getting green sectors = 3/5

Total number of sectors = 5

Number of sectors that are non-blue = 4

Probability of getting non-blue sectors = 4/5

**Question 6: Find the probabilities of the events given in Question 2.**

Answer:

Answer:

i)

a)

Number of prime numbers = 3 (2, 3, 5)

Total number of outcomes = 6

Probability of getting a prime number = 3/6 = 1/2

b)

Number of non-prime numbers = 3 (1, 4, 6)

Total number of outcomes = 6

Probability of getting a non-prime number = 3/6 = 1/2

ii)

a)

Numbers greater than 5 = 1 (6)

Total number of outcomes = 6

Probability of getting a prime number = 1/6

b)

Numbers less than 5 = 5 (1, 2, 3, 4, 5)

Total number of outcomes = 6

Probability of getting a non-prime number = 5/6

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