MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A bag contains 3 red, 2 blue and 1 green ball. Two balls are drawn successively without replacement, and the order of drawing is noted.
(i) List all possible ordered pairs of colours that can occur. Hence write the sample space S.
(ii) Let B be the event “both balls are of the same colour.” List the favourable outcomes for B and state n(B).
(iii) Let C be the event “at least one ball drawn is red.” List the favourable outcomes for C and state n(C).
(iv) Verify that n(C)+n(C′)=n(S), where C′ is the complement of C.