Question

A chinese restaurant offers a chow mein dinner with a choice of one of three kinds of rolls (egg, spring, and shrimp), one of two types of chow mein noodles (steamed or crispy), and one of four choices of meat (chicken, pork, beef, and tofu).

For a catering event, the restaurant prepares equal quantities of each kind of chow mein dinner. Each dinner is packaged in a paper bag. At the event, a person randomly chooses a dinner. What is the probability s/he chooses a crispy tofu chow mein dinner?

Answer 1

Number of kinds of rolls = 3 (egg, spring, and shrimp)

Number of types of Chow mein noodles = 2 (steamed or crispy)

Number of choices of meat = 4 (chicken, pork, beef, and tofu)

Total Number of kinds of chow mein dinner

= Number of kinds of rolls x Number of types of Chow mein noodles x Number of choices of meat = 3 x 2 x 4 = 24

Number of kinds of dinner with crispy, tofu chow mein dinner

As the ,

types of Chow mein noodles : Crispy

choices of meat : Tofu

= Number of kinds of rolls x Number of types of Chow mein noodles(Crispy) x Number of choices of meat: Tofu

= 3 x 1 x 1 = 3

probability s/he chooses a crispy tofu chow mein dinner

= Number of kinds of dinner with crispy, tofu chow mein dinner / Total Number of kinds of chow mein dinner

= 3/24 = 1/8 =0.125

probability s/he chooses a crispy tofu chow mein dinner = 0.125