Question

cupcakes are being randomly passed out to every student in the class. the assortment of cupcakes is described in the table below. what is the probability of receiving either a birthday cake cupcake or a strawberry cupcake?

cupcake flavor	number of cupcakes
vanilla	2
strawberry	3
red velvet	8
lemon	3
carrot cake	7

submit your answer as a simplified fraction or a decimal rounded to the hundredths place.

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Explanation:

Step1: Calculate total number of cupcakes

$3 + 2+3 + 8+3 + 7=26$

Step2: Calculate number of favorable cupcakes

The number of birthday - cake and strawberry cupcakes is $3 + 3=6$

Step3: Calculate the probability

The probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{26}=\frac{3}{13}\approx0.23$

Answer:

$\frac{3}{13}\text{ or }0.23$