A bag contains 3 red counters and 2 blue counters. A counter is selected, its colour recorded, and i

Question

A bag contains 3 red counters and 2 blue counters. A counter is selected, its colour recorded, and it is replaced. The bag is mixed before a second counter is selected.

Draw a tree diagram, including the probability of each complete path.

Find the probability of selecting:

two red counters;
counters of different colours;
at least one blue counter.

Accepted Answer

(a) $RR:\frac9{25}, RB:\frac6{25}, BR:\frac6{25}, BB:\frac4{25}$; (b) $\frac9{25}$; (c) $\frac{12}{25}$; (d) $\frac{16}{25}$

Probability

Probability