Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?

A. 1/80
B. 1/16
C. 15/16
D. 79/80

Rustys favorite meal consists of a corn dog tater wedges and a fudge sickle Rusty has decided to order a corn dog and to choose his side and dessert randomly Wh class=

Respuesta :

Answer:

Option C.

Step-by-step explanation:

It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.

Rusty has decided to order a corn dog and to choose his side and dessert randomly.

We need to find the probability that Rusty will not end up with his favorite meal.

Total number of sides = 4

Total number of desserts = 4

Total possibilities = 4 × 4 = 16

Possible ways of selecting tater wedges and a fudge sickle = 1

Probability that Rusty will end up with his favorite meal is

[tex]P=\dfrac{1}{16}[/tex]

Probability that Rusty will not end up with his favorite meal is

[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]

Hence, the correct option is C.

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