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.

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.

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