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].