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A fair die has six faces numbered 1, 1, 1, 2, 2, and 3. The die is rolled twice and the number showing on the uppermost face is recorded. Find the probability that the sum of the two numbers is at least three.

There are a couple of ways to approach this. A grid showing all the possibilities can be drawn up, which would help to illustrate the solution a little more explicitly. For now, let's talk through the logic....
AS
Answered by Anthony S. • Maths tutor
8359 Views

A block of mass M lies stationary on a rough plane inclined at an angle x to the horizontal. Find a general expression relating the coeffecient of friction between the block and the plane and the angle x. At what angle does the box begin to slide?

The first step to any problem is to draw a suitable diagram. Here we draw a free body diagram, marking the angle x, the friction force F, normal reaction force N and weight of the block M g. "Stationary...
EG
Answered by Elliot G. • Maths tutor
3251 Views

A particle, P, moves along the x-axis. At time t seconds, t > 0, the displacement, is given by x=1/2t^2(t ^2−2t+1).

Find the times when P is instantaneously at rest.In order to solve this question we first have to multiply out in order to obtain the full expression of x which will be x = 1/2t^4 -2t^3+1/2t^2. Now we differ...
AK
Answered by Aleksander K. • Maths tutor
19906 Views

Calculate -3 + 3 using Two's Complement and the Sign and Magnitude Method. Which works correctly?

Using the Two's complement notation of -3 and 3 (11111101 and 00000011), binary addition will return 100000000 which has an overflow error, so the 9th bit is ignored giving a value of 00000000 which is equal...
MJ
Answered by Mark J. • Computing tutor
3484 Views

“Othello does not kill Desdemona in jealousy, but in a conviction forced upon him by the almost superhuman art of Iago.” - Samuel Coleridge. In the light of this view, discuss the extent to which Othello is responsible for Desdemona's death.

Look in Othello at the themes of jealousy, manhood, and appearance vs reality. Othello demands that Iago provide "ocular proof" of Desdemona's infidelity. But Iago instead sets up evidence through ...
HB
7692 Views