An experiment consists of selecting two marbles from an urn, in succession and without replacement. The urn contains 17 green marbles and 16 yellow marbles. Find the probability that:

An experiment consists of selecting two marbles from an urn, in succession and without replacement. The urn contains 17 green marbles and 16 yellow marbles. Find the probability that: both marbles are green?

? a. 0.5006 b. 0.0682 c. 0.6123 d. 0.2872 e. 0.2576

Solution:

Total number of green marbles=17

Total number of yellow marbles=16

Total number of marbles=17+16=33

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

Now, the probability that both marbles are green=[tex]\frac{17}{33}\times \frac{16}{32}[/tex]

Using the formula of probability

[tex]P(E)=\frac{Number\;of\;favorable\;cases}{Total\;number\;of\;cases}[/tex]

The probability that both marbles are green=17/66