R^2 sin(2 theta) from the trigonometric identities is equal to r sin theta * r cos theta. in this case, r sin theta is equal to y while <span>r cos theta is equal to x. r^2 in this expression is equal to 4 where r is equal to 2. Hence the cartesian form is equal to xy = 2</span>
There are four 7's in a standard card. Chance of getting a 7 first is 4/52 = 1/13 There are four queens in a standard card. Chance of getting a queen in the second drawing is 4/51 and chance of getting a queen in the third drawing is 3/50.
Therefore, chance of drawing a seven and two queens is 1/13 x 4/51 x 3/50 = 2/5525