Two fair dice are tossed together once. Find the probability that the sum of the outcomes is at least 10.
From a box containing 2 red, 6 white, and 5 black balls, a ball is randomly selected. What is the probability that the selected ball is black?
a. A pack of 52 playing cards is shuffled, and a card is drawn at random. Calculate the probability that it is either a five or a red nine.
[Hint: There are 4 fives and 2 red nines in a pack of 52 cards]
b. P, Q, and R are points in the same horizontal plane. The bearing of Q from P is 150º, and the bearing of R from Q is 060º. If |PQ| = 5 m and |QR| = 3 m, find the bearing of R from P, correct to the nearest degree.
