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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.

Sam has a bag of 18 counters. The bag has 8 black counters, 7 purple counters, and-example-1
User Rhlee
by
6.2k points

1 Answer

1 vote

Answer: See explanation

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.

User Aan
by
6.9k points
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