Two coins are tossed simultaneously. Find the probability of getting.
(i) two heads, (ii) at least one head, (iii) no head.
A die is thrown once. Find the probability of getting
(i) an even number.
(ii) a number greater than 3.
(iii) a number between 3 and 6.
If we throw a die once, then possible outcomes (s), are
S = { 1, 2, 3, 4, 5, 6 }
⇒ n(E) = 6
(i) Let E be the favourable outcomes of getting an even number, then
E = { 2, 4, 6 }
⇒ n(S) = 3
Therefore, P(E) =
(ii) Let F be the favourable outcomes of getting a number greater than 3, then
F = { 4, 5, 6 }
⇒ n( F) = 3
Therefore, P(E) =
(iii) Let G be the favourable outcomes of getting a number between 3 and 6.
G = { 4, 5 }
⇒ n(G) = 2
Therefore, P(G) =