Question

1. there is a set of 12 cards numbered 1 to 12. a card is chosen at random. event a is choosing a number than 6. event b is choosing a number divisible by 3. a diagram is given below.

determine the probability of the following. leave your answer in simplified fraction form. (1 point total)
a. ( p(a) ) b. ( p(b) )
c. ( p(acup b) ) d. ( p(acap b) )

1. there are 6 different colored pens in a box. each pen has a unique color. in how many orders can 4 pens be chosen? in other words, what is the number of permutations of picking 4 pens from the box? (lesson 19.2) (1 point)

□ a. 720
□ b. 360
□ c. 30

Explanation:

Step1: Calculate permutations

The formula for permutations is \(P(n,r)=\frac{n!}{(n - r)!}\), where \(n = 6\) (total number of pens) and \(r=4\) (number of pens to be chosen).

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Answer:

B. 360