Sure, let's solve the problem step-by-step!
1. Identify the number of each type of token:
- Black tokens: [tex]\(15\)[/tex]
- Green tokens: [tex]\(17\)[/tex]
- Pink tokens: [tex]\(22\)[/tex]
- Yellow tokens: [tex]\(29\)[/tex]
2. Calculate the total number of tokens:
[tex]\[
\text{Total tokens} = 15 + 17 + 22 + 29 = 83
\][/tex]
3. Identify the number of non-pink tokens:
- Non-pink tokens include black, green, and yellow tokens.
[tex]\[
\text{Non-pink tokens} = 15 + 17 + 29 = 61
\][/tex]
4. Calculate the probability of picking a non-pink token:
[tex]\[
P(\text{not pink}) = \frac{\text{Number of non-pink tokens}}{\text{Total number of tokens}} = \frac{61}{83}
\][/tex]
5. Convert the fraction to a decimal (optional but often useful):
[tex]\[
\frac{61}{83} \approx 0.7349397590361446
\][/tex]
So, the probability of picking a token that is not pink is approximately [tex]\(0.7349\)[/tex].
