- 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

Respuesta :

Answer:

The probability of selecting two white tokens is;

[tex]P=\frac{2}{15}[/tex]

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;

[tex]P=P_1\times P_2[/tex]

The probability of selecting the first white token is;

[tex]P_1=\frac{4}{10}[/tex]

The probability of selecting the second white token is;

[tex]P_2=\frac{3}{9}[/tex]

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,

[tex]\begin{gathered} P=P_1\times P_2 \\ P=\frac{4}{10}\times\frac{3}{9} \\ P=\frac{12}{90} \\ P=\frac{2}{15} \end{gathered}[/tex]

The probability of selecting two white tokens is;

[tex]P=\frac{2}{15}[/tex]