Question

- Question: Select the correct answer. 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:A.8/15B.4/15C.1/15D.2/15

Answer 1

The probability of selecting two white tokens is;

`P=(2)/(15)`

Step-by-step explanation:

Given that;

There are 4 white tokens and 6 blue tokens in a bag

Total = 4+6 = 10

And Once a token is selected, it is NOT REPLACED.

The probability of selecting two white tokens can be calculated as;

`P=P_1* P_2`

The probability of selecting the first white token is;

`P_1=(4)/(10)`

The probability of selecting the second white token is;

`P_2=(3)/(9)`

Since there is no replacement, the number of white token and the total number of token would reduce by one after the first selection;

So,

`\begin{gathered} P=P_1* P_2 \\ P=(4)/(10)*(3)/(9) \\ P=(12)/(90) \\ P=(2)/(15) \end{gathered}`

The probability of selecting two white tokens is;

`P=(2)/(15)`