Question

There are 10 marbles in a box which are marked with first 10 multiples of 2.
(a) What is the probability of drawing a multiple of 4?
(b) What is the probability of drawing a multiple of 6? [4 MARKS]

Answer 1

Formula: 1 Mark
Steps: 1 Mark
Answer: Each part 1 Mark

First 10 multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

$\Rightarrow$ Numbers of multiples of 2 = 10

In these number which are multiples of 4 are 4, 8,12,16, 20

$\Rightarrow$ Numbers of multiples of 4 = 5

In these number which are multiples of 6 are 6,12,18

$\Rightarrow$ Numbers of multiples of 6 = 3

i) Probability of drawing a multiple of 4 is:

$\text{P(E)}=\frac{\text{Numbers of multiples of 4}}{\text{Total numbers of marbles}}$

$\Rightarrow P\left(E\right)=\frac{5}{10}=\frac{1}{2}$.

ii) Probability of drawing a multiple of 6 is:

$\text{P(E)}=\frac{\text{Numbers of multiples of 6}}{\text{Total numbers of marbles}}$

$\Rightarrow \text{P(E)}=\frac{3}{10}$