There are 18 marbles in a bag, 4 are blue and 14 are yellow. Suppose you take a marble from the bag without looking. Then you take a second marble from the bag without looking. Find the probability that both marbles are blue. Express your answer as a fraction in simplest form.

Respuesta :

Answer:

[tex]\frac{2}{51}[/tex]

Step-by-step explanation:

We are given that

Total number of marbles=18

Blue marbles=4

Yellow marbles=14

We have to find the probability that the both marbles are blue.

Probability ,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]

The probability of getting first blue marble =[tex]\frac{4}{18}[/tex]

It is without replacement.

Now remaining marbles=18-1=17

Blue marbles=4-1=3

The probability of getting second blue marble=[tex]\frac{3}{17}[/tex]

The probability that both  marbles are blue=[tex]\frac{4}{18}\times \frac{3}{17}=\frac{2}{51}[/tex]