Question

The board game Scrabble® contains 100 tiles, 98 of which are labeled with a letter and a point value, and 2 blank tiles. The distribution of tiles and point values is shown in the table. A tile is drawn at random. Find the probability of each event. (Enter your probabilities as fractions.)

Point value	Number of tiles
0 points	2
1 point	68
2 points	7
3 points	8
4 points	10
5 points	1
8 points	2
10 points	2

(a) Drawing a tile that is worth 4 points


(b) Drawing a tile that is worth 8 points


(c) Drawing a tile that is worth 0 points


(d) Drawing a tile that is worth at least 4 points

2. Determine the number of possible outcomes for each experiment.

(a) Flipping a coin
outcomes

(b) Rolling a standard die
outcomes

(c) Choosing a letter from the alphabet
outcomes

3. A college calculus class consists of 24 females and 16 males. There are 12 biology majors, 16 mathematics majors, and 12 computer science majors. If a student is chosen at random, what is the probability that the student is a female? (Enter your probability as a fraction.)


What is the probability that the student is a computer science major? (Enter your probability as a fraction.)

Answer 1

1)

(a) Probability of drawing a tile that is worth 4 points = 10/100 = 0.10

(b) Probability of drawing a tile that is worth 8 points = 2/100 = 0.02

(c) Probability of drawing a tile that is worth 0 points = 2/100 = 0.02

(d) Probability of drawing a tile that is worth at least 4 points = (10 + 1 + 2 + 2)/100 = 0.15

2)

(a) Flipping a coin -> 2 outcomes

(b) Rolling a standard die -> 6 outcomes

(c) Choosing a letter from the alphabet -> 26 outcomes

3)

Probability that the student is a female = 24/40 = 3/5

Probability that the student is a computer science major = 12/40 = 3/10