The probability of selecting either a glazed doughnut or a chocolate doughnut is [tex]\frac{2}{3}[/tex]
'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'
According to the given problem,
Number of glazed doughnuts = 3
Number of jelly doughnuts = 4
Number of chocolate doughnuts = 5
Total number of items = 12
Probability of picking a glazed doughnut = [tex]\frac{3}{12}[/tex]
Probability of picking a chocolate doughnut = [tex]\frac{5}{12}[/tex]
Therefore, the probability of selecting either a glazed doughnut or a chocolate doughnut,
= [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex]
= [tex]\frac{8}{12}[/tex]
= [tex]\frac{2}{3}[/tex]
Hence, we can conclude, the probability of selecting either a glazed doughnut or a chocolate doughnut is [tex]\frac{2}{3}[/tex]
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