Step-by-step explanation:
Total number of balls = 6 + 4 = 10
Total number of red balls = 6
Total number of blue balls = 4
Probability is the ratio of number of favorable outcome to total number of outcomes.
[tex]\texttt{Probability of drawing first red ball = }\frac{\texttt{Number of red balls}}{\texttt{Total number of balls}}\\\\\texttt{Probability of drawing first red ball = }\frac{6}{10}\\\\\texttt{Probability of drawing second red ball = }\frac{\texttt{Number of red balls}}{\texttt{Total number of balls}}\\\\\texttt{Probability of drawing second red ball = }\frac{5}{9}[/tex]
[tex]\texttt{Probability of drawing two red balls = }\texttt{Probability of drawing first red ball}\times \texttt{Probability of drawing second red ball}\\\\\texttt{Probability of drawing two red balls = }\frac{6}{10}\times \frac{5}{9}=0.333[/tex]
The probability that both balls picked are red is 0.3333