There are 4 white tokens and 6 blue tokens in a bag. Once a token is selected, it is not replaced. Find the probability of selecting two white tokens

The probability of selecting two white tokens without replacement is .

Given:

The number of white tokens is 4.

The number of blue tokens is 6.

To find:

The probability of selecting two white tokens without replacement.

Explanation:

We know that,

The probability of getting first white token is:

Now, the number of remaining tokens is 9 and the number of remaining white tokens is 3. So, the probability of getting second white token is:

The probability of selecting two white tokens without replacement is:

Therefore, the probability of selecting two white tokens without replacement is .

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2/15

Step-by-step explanation: To find this compound probability, first note that there is no replacement.

The probability of drawing the first white token is 4/10 or 2/5.

The probability of drawing the second token is 3/9 or 1/3 because one white token has already been taken away. Now, multiply 2/5 by 1/3 to get the answer, which is 2/15