A die is thrown once. Find the probability of getting
(i) an odd number.
(ii) a number greater than 4.
(iii) seven.
A pair of dice is thrown once. Find the probability of getting a total of 5 on two dice.
Two dice are thrown simultaneously. What is the probability that
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come at both dice?
(ii) Let B be the favourable outcomes that 5 will come up on at least one dice. Then
B = {(1,5), (2, 5), (3, 5), (4, 5), (5,1),
(5,2), (5, 3) (5, 4), (5,5), (5, 6), (6,5)}
i.e., n(B) = 11
Therefore, P(B) =
(iii) Let C be the event that 5 will come up on both the dice.
C = {5, 5}, i.e., n(C) = l
Therefore, P(C)=
Two dice are thrown simultaneously. Find the probability of getting :
(i) a sum less than 6 (ii) a sum less than 7
(iii) a sum more than 7 (iv) 8 as the sum
A card is drawn from a pack of 52 playing cards. What is the probability that it is
(i) an ace
(ii) a face card
(iii) any card numbered from 2 to 10?
One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is :
(i) red (ii) either red or king
(iii) red and a king (iv) a red face card
(v) ‘2’ of spades (vi) ‘10’ of a black suit.