A box contains 4 red and 3 blue identical balls. If two a...
A box contains 4 red and 3 blue identical balls. If two are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.
\(\frac{4}{7}\)
\(\frac{2}{7}\)
\(\frac{1}{7}\)
\(\frac{1}{12}\)
Correct answer is A
P(one blue, other red) = P(1st red then blue) or P(1st blue then red)
= \((\frac{4}{7} \times \frac{3}{6}) + (\frac{3}{7} \times \frac{4}{6})\)
= \(\frac{2}{7} + \frac{2}{7} = \frac{4}{7}\)
Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\)....
Find the sum of the exponential series \(96 + 24 + 6 +...\)...
If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) +...
Calculate the distance between points (-2, -5) and (-1, 3) ...
Face 1 2 3 4 5 6 Frequency 12 18 y 30 2y 45 Given the table abov...
Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥ 0....
Solve: 8\(^{x - 2}\) = 4\(^{3x}\)...
In △PQR, \(\overline{PQ}\) = 5i - 2j and \(\overline{QR}\) = 4i + 3j. Find \(\...