To find the probability of winning either [tex]$5 or $[/tex]25 in a game-show spinner with the given probabilities, let's break it down into detailed steps.
1. Identify the individual probabilities:
- Probability of winning [tex]$5 is 55\%$[/tex].
- Probability of winning [tex]$25 is 20\%$[/tex].
- Probability of winning [tex]$50 is 15\%$[/tex].
- Probability of winning [tex]$100 is 10\%$[/tex].
2. Combine the probabilities of the desired outcomes:
We are interested in the probability of winning either [tex]$5 or $[/tex]25. To find this, we add the individual probabilities for these outcomes:
- The probability of winning [tex]$5 is 55\%$[/tex].
- The probability of winning [tex]$25 is 20\%$[/tex].
3. Add the probabilities:
[tex]\[
\text{Probability of winning } \$5 + \text{ Probability of winning } \$25 = 55\% + 20\%
\][/tex]
4. Calculate the combined probability:
[tex]\[
55\% + 20\% = 75\%
\][/tex]
Therefore, the probability of a player winning either [tex]$5 or $[/tex]25 is [tex]\(75\%\)[/tex].
