Question

1. ashley, bob, claire, and daniel are among 13 students who entered a lottery to win a free vacation to paris. only 4 people will be chosen at random. what is the probability that ashley, bob, claire, and daniel will be chosen? (lesson 19.3) (1 point)

a. $\frac{1}{17160}$
b. $\frac{4}{715}$
c. $\frac{1}{440}$
d. $\frac{1}{715}$

1. a six - sided die is rolled 4 times and the results are recorded. answer the following. (lesson 19.3) (1 point total)

a) how many outcomes are in the sample space, $n(s)$? ________
b) how many outcomes are there of rolling a 6 exactly 2 times, $n(a)$? ________
c) what is the probability of rolling a 6 exactly 2 times? $p(a)=\frac{n(a)}{n(s)}=$ ________

1. you just got free tickets for a boat ride, and you can only bring along 2 friends. unfortunately, you have 6 friends who want to come along. how many different groups of friends could you take with you? (lesson 19.3) (1 point)

a. 720
b. 30
c. 15

Explanation:

Step1: Calculate the number of ways to choose 2 friends out of 6

The combination formula is \(C(n,k)=\frac{n!}{k!(n - k)!}\), where \(n = 6\) and \(k=2\).

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Answer:

C. 15