Two balls are drawn, from a bag containing 3 red, 4 white...
Two balls are drawn, from a bag containing 3 red, 4 white and 5 black identical balls. Find the probability that they are all of the same colour.
\(\frac{5}{33}\)
\(\frac{13}{66}\)
\(\frac{8}{53}\)
\(\frac{19}{66}\)
Correct answer is D
\(P(\text{two same color balls}) = P(\text{2 red}) + P(\text{2 white}) + P(\text{2 black})\)
\(P(\text{2 red}) = \frac{3}{12} \times \frac{2}{11} = \frac{1}{22}\)
\(P(\text{2 white}) = \frac{4}{12} \times \frac{3}{11} = \frac{1}{11}\)
\(P(\text{2 black}) = \frac{5}{12} \times \frac{4}{11} = \frac{5}{33}\)
\(P(\text{2 same color balls}) = \frac{1}{22} + \frac{1}{11} + \frac{5}{33} = \frac{19}{66}\)
If \(T = \begin{pmatrix} -2 & -5 \\ 3 & 8 \end{pmatrix}\), find \(T^{-1}\), the inverse of T...
Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5. ...
In how many ways can 3 prefects be chosen out of 8 prefects? ...
Solve (\(\frac{1}{9}\))\(^{x + 2}\) = 243\(^{x - 2}\) ...
If \(\int^3_0(px^2 + 16)dx\) = 129. Find the value of p...
Given that \(\begin{pmatrix} 1 & -3 \\ 1 & 4 \end{pmatrix} \begin{pmatrix} -6 \\ P \end{pmat...
Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0. ...
Find the radius of the circle 2x\(^2\) - 4x + 2y\(^2\) - 6y -2 = 0. ...
Solve: 8\(^{x - 2}\) = 4\(^{3x}\)...
Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x....