Answer to Question #304828 in Statistics and Probability for trix

Question

A basket contains 12 ripe and 7 unripe mangoes. If four mangoes are taken from the basket one after the other, how many samples space we have in this experiment?

Answer 1

Let's denote R - ripe and $R'$ unripe mangoes.

Sample space S is all possible outcomes.

$$S=\{RRRR, RRRR', RRR'R, RR'RR,$$

$$R'RRR, RRR'R', RR'RR', RR'R'R,$$

$$R'RR'R, R'RRR', R'R'RR, RR'R'R',$$

$$R'RR'R', R'R'RR', R'R'R'R, R'R'R'R'\}$$

There are $2^4=16$ possible outcomes.