Question

Archie plays a word board game. He places 98

lettered tiles and 2 blank tiles in a bag. Players
will draw tiles from the bag one at a time
without looking.
What is the probability that the first tile drawn
will be a blank tile? Labeled with a letter? A
vowel? A consonant?
Select each type of tile to see its probability.

Answer 1

blank: 0.02

lettered: 0.98

vowel: 0.42

consonant: 0.56

Explanation:

In the figure attached, the number of tiles of each letter are shown.

number of blank outcomes: 2

number of lettered outcomes: 98

number of vowel outcomes: 9 + 12 + 9 + 8 + 4 = 42

number of consonant outcomes: 98 - 42 = 56

Total number of outcomes: 100

Probability that first tile drawn is a blank tile: 2/100 = 0.02

Probability that first tile drawn is labeled with a letter: 98/100 = 0.98

Probability that first tile drawn is a vowel: 42/100 = 0.42

Probability that first tile drawn is a consonant: 56/100 = 0.56