Let S be the line of intersection of two planes
x + y + z = 1 and 2x + 3y – 4z = 8.

If (l, m, n) are direction cosines of S, then what is the value of 43(l^2 + m^2 + n^2)?

Two dice each numbered from 1 to 6 are thrown together. Let A and B…

Two dice each numbered from 1 to 6 are thrown together. Let A and B…

An urn contains one black ball and one green ball. A second urn contains one…

An urn contains one black ball and one green ball. A second urn contains one…

What is the most probable number of successes in 10 trials with probability of success…