Two cards are drawn simultaneously from a pack of 52 cards.
Number of equally likely, exhaustive outcomes = n(S) =
Event A: One card is red and one is black. Favourable elements = (26 red, 1 to draw; 26 black, 1 to draw)
P(A) = Probability that one card is red and one card is black
In a lottery, there are 35 tickets in all, 10 bearing prize numbers and 25 are blanks. A lady draws 2 tickets at random. What is the probability that she will win one prize.
A bag contains 3 red balls bearing numbers 1, 2, 3 (one number on one ball) ; and two black balls bearing numbers 4 and 6. A ball is drawn, its number noted and the ball is replaced in the bag. Then another ball is drawn and its number noted. Find the probability of drawing:
(i) 2 on the first draw and 6 on the second draw.
(ii) a number ≤ 2 on the first draw and 4 on the second draw.
(iii) a total of 5.