Answer:
Given that,
The spinner has A, B, C, D, E, F.
To find: Probability of not getting D
Explanation:
First step to find probability of getting D.
Let D be the event of getting D.
Total possible outcomes n(S) is 6,
Number of ways on getting D n(D) =1
we have the formula as,
[tex]P(D)=\frac{\text{ number of ways to get D}}{\text{ total possible ways}}[/tex][tex]P(D)=\frac{n(D)}{n(S)}[/tex]
Substitute the value we get,
[tex]P(D)=\frac{1}{6}[/tex]
To find P(not D)
P(not D) is the complement of P(D),
we get,
[tex]P(\text{not D})=1-P(\text{D})[/tex]
Substitute the value we get,
[tex]P(\text{not D})=1-\frac{1}{6}[/tex][tex]P(\text{not D})=\frac{5}{6}[/tex]
Answer is:
[tex]P(\text{not D})=\frac{5}{6}[/tex]
