Question

Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?

a) She is 1.5 times less likely to draw a vowel than a consonant.
b) She is 1.5 times more likely to draw a vowel than a consonant.
c) She is twice as likely to draw a consonant as a vowel.
d) Drawing a vowel and a consonant are equally likely.

Answer 1

In the bag, the probability of drawing a vowel is 0.44, and the probability of drawing a consonant is 0.56. Therefore, Tamara is 1.5 times less likely to draw a vowel than a consonant.

Step-by-step explanation:

To determine which statement is true, we need to compare the probabilities of drawing a vowel and a consonant. In the bag, there are 44 vowels and 56 consonants, making a total of 100 tiles. If Tamara draws a tile at random, the probability of drawing a vowel is 44/100 = 0.44, and the probability of drawing a consonant is 56/100 = 0.56.

To compare these probabilities, we can calculate the ratio of the two. The probability of drawing a vowel is 0.44, and the probability of drawing a consonant is 0.56. Therefore, the ratio is 0.44/0.56 = 0.786.

Since this ratio is less than 1, statement a) She is 1.5 times less likely to draw a vowel than a consonant is true.