Model 10: There are 5 individuals from Arizona (A), 7 individuals from California (C), and 3 individuals from Nevada (N) similarly qualified for a task. There are three employment opportunities for three unique individuals. What is the likelihood that:

what is the likelihood that the initial two individuals chosen are from Arizona and the third is from California? Type your answer as a small portion or a decimal adjusted to the closest thousandth (three decimal spots).

Assume you're on a game show, and you're given the decision of three entryways: Behind one entryway is a vehicle; behind the others, goats. You pick an entryway, say entryway number 1 (yet the entryway isn't opened), and the host, who can say for sure what's behind the entryways, opens another entryway, say entryway number 3, which has a goat. He at that point says to you, "Would you like to pick entryway Number 2?"

(a) What is the likelihood of winning on the off chance that you don't switch your decision?

(b) What is the likelihood of winning in the event that you do switch your decision?

(c) Is it for your potential benefit to switch your decision? (Type either yes or no)

2. Assume you're on an alternate game show. The host has you take a card from a deck of 52 playing a game of cards. You don't have a clue what card you picked in light of the fact that it is face down. You're assume to figure the playing card you just picked. Suppose you surmise the two of clubs. The host at that point shows you the wide range of various cards in the deck with the exception of one card. Assuming he has the card you speculated, he doesn't show you that card. On the off chance that he doesn't have the card you speculated, he actually doesn't show you one card. He at that point says to you, "Do you need the card you initially picked or would you like to picked the card I have".

(a) What is the likelihood you speculated the card on the off chance that you don't switch your decision?

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(b) What is the likelihood you speculated the card in the event that you do switch your decision?

(c) Is it for your potential benefit to switch your decision? (Type either yes or no)

32% of youthful grown-up guys play computer games. 40% of youthful grown-up guys make some full-memories work. 51% of youthful grown-up guys that play computer games additionally make some full-memories work. Offer your responses as a decimal to 4 decimal spots.

(a) What percent of youthful grown-up guys play computer games and make some full-memories work?

(b) What percent of youthful grown-up guys play computer games or make some full-memories work?

A modest amount of understudies at ACM are nursing understudies. A little less than half of understudies at ACM are sophomores. Five percent of ACM sophomores are nursing understudies. Accept that ACM just has green bean and sophomore understudies.

What percent of ACM understudies are sophomores and non-nursing understudies?

Type your answer as a decimal adjusted to the closest 100th (two decimal spots).