1. A candy bowl in Blake's kitchen has 12 red candies, 15 blue candies, 6 green candies, 11 yellow candies and 16 orange candies. Blake randomly chooses one candy from the bowl without looking. What is the probability that he will choose a red, green or orange candy? Express your probability answer as a fraction, decimal and percent

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Answer:

The probability that Blake will choose a red, green or orange candy [tex]\frac{17}{30}[/tex] or [tex]0.57[/tex] or [tex]56.67\%[/tex].

Step-by-step explanation:

Number of red candies [tex]=12[/tex].

Number of blue candies [tex]=15[/tex].

Number of green candies [tex]=6[/tex].

Number of yellow candies [tex]=11[/tex].

Number of orange candies [tex]=16[/tex].

Total number of candies [tex]=12+15+6+11+16=60[/tex].

Probability of an event [tex]\textrm{E}[/tex], [tex]\textrm{P}(\textrm{E})=\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}[/tex]

Number of red, green or orange candies [tex]=12+6+16=34[/tex].

So, the probability that he will choose a red, green or orange candy [tex]=\frac{34}{60} =\frac{17}{30}[/tex] or [tex]0.57[/tex] or [tex]56.67\%[/tex].

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