A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 red and 4 black balls; if it shows tail, we throw a die. What is the sample associated to this experiment?

Explanation

Let the three red balls be taken as `R_(1), R_(2), R_(3)` and four black balls be taken as `B_(1), B_(2), B_(3) " and " B_(4)`
If the coin shows head, then we draw a ball, which can be any one of the 7 balls.
`therefore` possible outcomes are `(H, R_(1)), (H, R_(2)), (H, R_(3)), (H, B_(1)) (H, B_(2)), (H, B_(3)), (H, B_(4))`
If the coin shows tail, then we throw a die.
In this case, possible outcome are (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
`therefore` Sample space for this experiment is
`S = {(H, R_(1)), (H, R_(2)), (H, R_(3)), (H, B_(1)), (H, B_(2)), (H, B_(3)), (H, B_(4)), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}`