Question

A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.

Answer 1

It is given that a coin is tossed and if it shows a tail then a ball is drawn from a box which contains 2 red and 3 black balls and if it shows a head, then a dice is thrown. Consider the red balls be represented by R1 and R2 and black balls be represented by B1, B2 and B3.

If the coin shows a tail, a ball is drawn from a box containing 2 red and 3 black balls.

If the coin shows a head, a dice is thrown.

Thus, the sample space of the given experiment is,

S={ TR1,TR2,TB1,TB2,TB3,H1,H2,H3,H4,H5,H6 }