# Probability of Picking Numbers (2)

In this worksheet, students calculate the probability of choosing or not choosing certain numbers.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Probability

Difficulty level:

### QUESTION 1 of 10

Probability is written as a fraction.

On the top (numerator) of the fraction, we place the number of options we are looking for.

On the bottom (denominator) of the fraction, we place the total number of possible combinations.

Example

Look at these number cards.

What is the probability of selecting a number which is either greater than 8 or even?

There are 8 options that "we are looking for" (these are 2, 4, 6 and 8 and 9, 10, 11 and 12)

There are 12 "possible combinations".

The probability is 8/12 which reduces to 2/3

Look at these number cards.

What is the probability of selecting at random a number greater than 6 or less than 3?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number greater than or equal to 6 or less than 2?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is even or greater than 6?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is a multiple of 5 or a multiple of 2 or both?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is not a multiple of 3 and not even?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is an even factor of 20?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is an even prime?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is even or prime?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is an odd factor of 12.

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

Look at these number cards.

What is the probability of selecting at random a number which is an odd number or a factor of 12?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

• Question 1

Look at these number cards.

What is the probability of selecting at random a number greater than 6 or less than 3?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

2/3
• Question 2

Look at these number cards.

What is the probability of selecting at random a number greater than or equal to 6 or less than 2?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

2/3
• Question 3

Look at these number cards.

What is the probability of selecting at random a number which is even or greater than 6?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

3/4
• Question 4

Look at these number cards.

What is the probability of selecting at random a number which is a multiple of 5 or a multiple of 2 or both?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

7/12
• Question 5

Look at these number cards.

What is the probability of selecting at random a number which is not a multiple of 3 and not even?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

1/3
• Question 6

Look at these number cards.

What is the probability of selecting at random a number which is an even factor of 20?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

1/4
• Question 7

Look at these number cards.

What is the probability of selecting at random a number which is an even prime?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

1/12
• Question 8

Look at these number cards.

What is the probability of selecting at random a number which is even or prime?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

5/6
• Question 9

Look at these number cards.

What is the probability of selecting at random a number which is an odd factor of 12.

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

1/6
• Question 10

Look at these number cards.

What is the probability of selecting at random a number which is an odd number or a factor of 12?

(write the answer as a fraction in its lowest terms using the / sign e.g. 3/4)

5/6
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