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A game-show spinner has the following probabilities of stopping on particular dollar values:

- 55% for \[tex]$5
- 20% for \$[/tex]25
- 15% for \[tex]$50
- 10% for \$[/tex]100

What is the probability of a player winning \[tex]$5 or \$[/tex]25?

Sagot :

GinnyAnsweridn
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].
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