Question

Sofia places 26 tiles representing each letter of the alphabet into a bag.Five of the tiles represent the vowels A,E,I,O,and U .Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag. Sofia will draw two tiles from the bag 260 times.What is reasonably prediction for the number of times Sofia will select a consonant tile and a vowel tile?

Answer 1

42 times.

Explanation:

The number of total alphabet = 26 tiles

The number of vowels = 5

The number of consonant = 26 - 5 = 21

The probability to select consonant at first time = 21/26

The probability to select vowels at second time = 5/25

The probability to select consonant and vowels =
`(21)/(26) *(5)/(25) =(21)/(130)`

Sofia will draw two tiles from the bag 260 times.

The prediction for the number of times Sofia will select a consonant tile and a vowel tile =
`(21)/(130) *260=42 \ times`