Question

The probability of choosing a red color on the spinning wheel and getting a multiple of $\text{2 on a dice is}\frac{X}{Y}.\text{After reducing to the lowest}$
form, what will be the sum of X and Y?

• A. 6

Answer 1

The correct option is A 6
The wheel has 5 sections in it.
So, probability of choosing the red $\text{color}=\frac{1}{5}$

A dice has the following numbers on its faces - 1, 2, 3, 4, 5 and 6.
Multiples of 2 = 2, 4, 6.

So, probability of getting a multiple $\text{of 2 on the dice}=\frac{2}{6}=\frac{1}{3}$

Combining both the possibilites, we get:


So, getting red colour and a multiple of 2 = 3 favorable outcomes.

Total number of possible outcomes = 15

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

$=\frac{3}{15}=\frac{1}{5}$

$\text{It is expressed in the question as}\frac{X}{Y}.$

So, X = 1 and Y = 5.

∴ Value of X + Y = 1 + 5 = 6.