Question

Please help :)

Jared is playing a game on a grid that is made up of 25 equally sized squares. Some of the squares are shaded. If the probability of picking a point at random in one of the shaded squares is exactly 0.16, how many of the squares are shaded?
A) 2
B) 4
C) 16
D) 21

Answer 1

Answer: B) 4

Explanation:

Given: The total number of equally sized squares =25

The the probability of picking a point at random in one of the shaded squares=0.16

We know that the probability of any event is given by:

`Probability=\frac{\text{number of favorable outcomes}}{\text{total outcomes}}`

`\\\Rightarrow0.16=\frac{\text{number of shaded squares}}{\text{total squares}}\\\Rightarrow\ 0.16=\frac{\text{number of shaded squares}}{25}\\\Rightarrow\text{number of shaded squares}=0.16*25=4`

Hence, the number of shaded squares= 4.