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

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

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

Answer 2

Answer: Probability of getting 3 consonants and 2 vowels is $\frac{400}{1001}$

Step-by-step 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

$\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{120\times 10}{3003}\\\\=\frac{1200}{3003}\\\\=\frac{400}{1001}$

Hence, Probability of getting 3 consonants and 2 vowels is $\frac{400}{1001}$