Sam has a bag of 18 counters. The bag has 8 black counters, 7 purple counters, and 3 pink counters. He randomly picks a counter, does not replace it, and then picks another. Find the probability of each event.

Answer: See explanation
Step-by-step explanation:
Number of black counters = 8
Number of purple counters = 7
Number of pink counters = 3
Total number of counters = 18
1. The probability of picking two pink counters.
= 3/18 × 2/17
= 1/51
= 0.0196
2. The probability of picking two black counters.
= 8/18 × 7/17
= 0.183
3. The probability of picking a black counter and then picking a purple counters.
= 8/18 × 7/17
= 0.183
4. The probability of picking a black counter and then a pink counters.
= 8/18 × 3/17
= 0.784
They're dependent events as the events depend on each other. In such case, one event must have happened first before the second one happens too.