Question

Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar. A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles. If 5 tiles are picked randomly, the probability that 3 are consonants and 2 are vowels is

Answer 1

Answer: Probability of getting 3 consonants and 2 vowels is
`(400)/(1001)`

Explanation:

Since we have given that

Number of unique consonant tiles = 10

Number of unique vowel tiles = 5

According to question, 5 tiles are picked randomly.

We need to take out 3 consonants and 2 vowels so, we will use "combination":

Probability that 3 are consonants and 2 are vowels is given by

`(^(10)C_3* ^5C_2)/(^(15)C_5)\\\\=(120* 10)/(3003)\\\\=(1200)/(3003)\\\\=(400)/(1001)`

Hence, Probability of getting 3 consonants and 2 vowels is
`(400)/(1001)`

Answer 2

this equals 10C3 * 5C2
----------------
15C5

= 120 * 10
---------- = 1200/3003 = 400/1001
3003