Question

A tub contains red, green, blue and white counters. 5% of the counters are red, with an equal number of blue and white counters. The ratio of red to green counters is 3: 7. There is 20 more green than red counters. What is the probability of picking a red or blue counter?

Answer 1

The probability of picking a red counter is therefore; 8/25.

What is the probability of picking a red counter?

Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;

x = (2/3)× 24 = 16 red.

The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.

The total number of counters is therefore; 40/0.8 = 50 counters.

The probability of picking a red counter is therefore; 16/50 = 8/25.

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