spohie asks each dinner guest to select one choice from each list:main(chicken,salmon, or steak),side (potato or rice), and vegetable(beans or broccoli)

Model the sample space
with all possible outcomes.
Find the probability of a
guest requesting either
potatoes or beans if the
guest chooses at random.
Show your work.​

Respuesta :

Answer:

chicken potato beans   chicken rice beans   chicken potato broccoli   chicken rice broccoli   salmon potato beans   salmon rice beans   salmon potato broccoli   salmon rice broccoli   steak potato beans   steak rice beans   steak potato broccoli   steak rice broccoli

Step-by-step explanation:

use the chart but do chicken etc..

Ver imagen carleighfiveash

The probability of a guest requesting either potatoes or beans if the guest chooses at random is 14/35 or 0.4.c

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Sophie asks each dinner guest to select one choice from each list:main (chicken, salmon, or steak), side (potato or rice), and vegetable (beans or broccoli).

The list can be made:

Sample space = {(chicken, potato, beans), (chicken, potato, broccoli) and so on}

Total items = 3+2+2 = 7

Number of ways = C(7, 3) = 35

Number of ways for potatoes = C(7, 1) = 7

Number of ways for beans = C(7, 1) = 7

The probability of a guest requesting either potatoes or beans if the guest chooses at random is:

= 7/35 + 7/35

= 14/35

= 0.4

Thus, the probability of a guest requesting either potatoes or beans if the guest chooses at random is 14/35 or 0.4.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2