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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

Respuesta :

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

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

Answer: Probability of getting 3 consonants and 2 vowels is [tex]\frac{400}{1001}[/tex]

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

[tex]\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{120\times 10}{3003}\\\\=\frac{1200}{3003}\\\\=\frac{400}{1001}[/tex]

Hence, Probability of getting 3 consonants and 2 vowels is [tex]\frac{400}{1001}[/tex]

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