Answer: The chance here to win is 50%.
Step-by-step explanation: You are taking a chance on a spinner with 20 outcomes. So, we will be considering natural numbers from 1 to 20.
And also, you will a prize if you land on an even number, so we will calculate the probability of getting an even number.
From 1 to 20, there are 10 odd numbers and 10 even numbers out of total 20 numbers.
Let us define the following events -
A = event of getting an even number
and
B = event of getting an odd number.
So, n(A) = 10 and n(B) = 10.
So, the probability of getting an even number is given by
[tex]p(A)=\dfrac{n(A)}{n(A)+n(B)}=\dfrac{10}{10+10}=\dfrac{10}{20}=0.5=50\%.[/tex]
Thus, the required chance of winning a prize is 50%.
