A box of 15 chocolates has 6 that are caramel, 5 that contain nuts, and 4 that are nougat. If you randomly select 3 chocolates, what is the probability that you will get all nuts?

Respuesta :

Answer:

0.849

Step-by-step explanation:

Number of caramel Chocolates= 6 Chocolates

Number of nut Chocolates= 5 Chocolates

Number of nougat= 4 chocolates

Total number of chocolates= 15

so, we have to find the probability of randomly selected 3 chocolates that are nuts

When first chocolate is drawn

P(nut chocolates)= [tex]\frac{5}{15}[/tex]

Now second chocolate is drawn

P(nut chocolates)=[tex]\frac{4}{14}[/tex]

When the  third chocolate is drawn

P(nut chocolates)= [tex]\frac{3}{13}[/tex]

Total probability =[tex]\frac{5}{15}[/tex]+[tex]\frac{4}{14}[/tex] +[tex]\frac{3}{13}[/tex]

Total probability= 0.849

Hence, the correct answer is 0.849