A die is thrown once. Find the probability of getting
(i) an odd number.
(ii) a number greater than 4.
(iii) seven.
If we throw a die once, then possible outcomes (s) are,
S = { 1, 2, 3, 4, 5, 6 )
n(S) = 6
(i) Let F be the favourable outcomes of getting an odd number, then
E = { 1, 3, 5 }
⇒ n(E) = 3
Therefore, P(E) =
(ii) Let F be the favourable outcomes of getting a number greater than 4, then F = {5, 6}
⇒ n(F) = 2
Therefore, P(F) =
(iii) Let G be the favourable outcome of getting seven, then
G = { 0 }
⇒ n(G) = 0
Therefore, P(G) =
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?
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.