a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Question

8 days ago

11

a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

t of the bag at random. calculate the probability that only one of the counters is white. give your answer as a fraction

Mathematics

1 answer:

AnnZ [9K] · Answer 1 · 2026-03-20T02:35:21+03:00

The problem involves an event where two counters are drawn from a bag initially containing 11 counters, 5 of which are white. We can designate W as the event of selecting a white counter during either draw and N when the counter drawn is not white. The probability calculation requires determining the likelihood that only one of the counters drawn is white. To accomplish this, we will first ascertain the probabilities independently. The original scenario includes 11 counters, of which 5 are white, yielding a certain probability for selecting a white counter. Following the removal of a white counter, the total count alters, necessitating a recalculation for the likelihood of then picking a non-white counter. The results lead to probabilities for both sequences of events (WN and NW), and the overall probability is the sum of these outcomes.