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
\(P(\text{two same color balls}) = P(\text{2 red}) + P(\text{2 white}) + P(\text{2 black})\)
\(P(\text{2 red}) = \frac{3}{12} \times \frac{2}{11} = \frac{1}{22}\)
\(P(\text{2 white}) = \frac{4}{12} \times \frac{3}{11} = \frac{1}{11}\)
\(P(\text{2 black}) = \frac{5}{12} \times \frac{4}{11} = \frac{5}{33}\)
\(P(\text{2 same color balls}) = \frac{1}{22} + \frac{1}{11} + \frac{5}{33} = \frac{19}{66}\)
A linear transformation on the oxy plane is defined by \(P : (x, y) → (2x + y, -2y)\). Find \(P...
Given that \(2^{x} = 0.125\), find the value of x....
Given that F\(^1\)(x) = x\(^3\)√x, find f(x)...
If α and β are roots of x\(^2\) + mx - n = 0, where m and n are constants, form the ...
The table shows the operation * on the set {x, y, z, w}. * X Y Z W X Y Z X W ...
Given that \(\log_{2} y^{\frac{1}{2}} = \log_{5} 125\), find the value of y...
Find the coefficient of \(x^{3}\) in the expansion of \([\frac{1}{3}(2 + x)]^{6}\)...
For what range of values of x is x\(^2\) - 2x - 3 ≤ 0...
Find the value of p for which \(x^{2} - x + p\) becomes a perfect square. ...