A box contains red balls and black balls of identical size and weight
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A box contains 4 red balls and 4 black balls of identical size and weight. One ball is drawn at random from the box and, simultaneously, a fair coin is tossed. Considering this combined experiment, answer the following questions:
(i) Write the complete sample space for the combined experiment.
(ii) Let event A be ‘the ball drawn is red or the coin shows head’. Determine P(A) and decide whether A is a sure, impossible or neither type of event. Give justification.
(iii) Let event B be ‘the ball drawn is blue’. Calculate P(B) and classify the event type. Give reason.
(iv) Show that the complement of an impossible event is a sure event by using event B and its complement in this situation. Provide a brief explanation linking their probabilities.