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Answer :
The probability that you order a cake from the bakery and get a vanilla or strawberry cake is 7/9, which is found by adding the individual probabilities of selecting a vanilla or strawberry cake.
The question requires us to calculate the probability of selecting either a vanilla or strawberry cake from a bakery with a total of 6 chocolate cakes, 12 vanilla cakes, and 9 strawberry cakes. To find this probability, we add together the probabilities of selecting either a vanilla cake or a strawberry cake.
Calculating the Probability
First, we calculate the total number of cakes: 6 chocolate + 12 vanilla + 9 strawberry = 27 cakes.
The probability of selecting a vanilla cake is the number of vanilla cakes divided by the total number of cakes, which is 12/27.
Similarly, the probability of selecting a strawberry cake is 9/27.
To find the combined probability of selecting either a vanilla or strawberry cake, we add their individual probabilities: 12/27 + 9/27 = 21/27.
Therefore, the probability that you order a cake and get a vanilla or strawberry cake is 21/27, which can be simplified to 7/9.
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