Question

3 Pamela has a sack that contains the letter

tiles shown here.
DU A O E
A H E E D
U O A H T
Without replacement, Pamela will randomly
select 2 tiles from the sack one at a time.
What is the probability that she will select
the letter E first and the letter T second?
1
1
1
1
F G
25 28
35
H
J
30


Answer 1

The probability of selecting four vowels from a bag of letter tiles is approximately 0.349 or 34.9%.

Step-by-step explanation:

The group of interest in this question is the group of vowels. The size of the group of interest is 4, because we want to know the probability of getting four vowels. The sample size is 7, since we are picking 7 tiles at random.

To calculate the probability, we can use the formula:

P(Four vowels) = (Number of ways to choose 4 vowels) / (Number of ways to choose 7 tiles)

Plugging in the numbers, we get:

P(Four vowels) = (44 choose 4) / (100 choose 7)

Simplifying, we find that the probability of getting four vowels is approximately 0.349 or 34.9%.