Two coins are tossed simultaneously. Find the probability of getting.
(i) two heads, (ii) at least one head, (iii) no head.
If we toss two coins simultaneously, then possible out comes (s), are
S = { HT, TH, HH, TT }
⇒ n( S) = 4
Let E be the favourable outcomes of getting two heads, then
E = { H H }
⇒ n(E) = 1
Therefore, P(E) =
Let F be the favourable outcomes of getting at least one head, then
F = { HH, HT, TH }
⇒ n(F) = 3
Therefore, P(F) =
Let G be the favourable outcomes of getting no head then
⇒ n (G) = 1
Therefore, P(G) =
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.