A coin is tossed if it shows head we draw a ball from a bagconsisting of 3 red b

Question

A coin is tossed if it shows head we draw a ball from a bagconsisting of 3 red balls and 4 black balls. If it shows a tail, wethrow a dice. What is the sample space of this experiment. What are the favourable cases representing the events. i) The throw of the coin resulted in a head ii) Ared ball is drawn. A coin is tossed if it shows head we draw a ball from a bagconsisting of 3 red balls and 4 black balls. If it shows a tail, wethrow a dice. What is the sample space of this experiment. What are the favourable cases representing the events. i) The throw of the coin resulted in a head ii) Ared ball is drawn.

Explanation / Answer

P(head) = 1/2 as there are two possible outcomes and onlypossibility of head. Thus, the probability is 1/2. For a red ball to be drawn, a head must be flipped. Thus,P(red) = P(head) * P(selecting red) = 1/2 * P(selecting red). But P(selecting red) is determined by the 7 possible outcomes and 3red. Thus, P(selecting red) = 3/7. As a result, P(red)= P(head) * P(selecting red) = 1/2 * 3/7 = 3/14.

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