Question

Three coins are placed in a bag. Each coin is labeled “1”, “2”, or “3”. A coin is drawn from the bag, recorded, and then placed back in the bag. Estimate the probability that the coin labeled “1” will be drawn next.

3 3 2 2 1 1 3 3 2 2

A. 3/4
B. 1/4
C. 4/5
D. 1/5

Answer 1

1/5 count the pairs of numbers and see how many pairs of 1’s there are and there’s your answer. This is a cheap easy trick and doesn’t always work but I’m sure it is correct for this one as this one looks like more common sense than anything to me

Answer 2

1/5

Explanation:

Probability = required outcome / all possible outcome

From the question above, A coin labelled '1', '2', or '3' is drawn from a bag , and it is being REPLACED back in the bag after it has been recorded, we are now asked to estimate the probability that the coin labeled '1' will be drawn next.

Our required outcome is the number of '1' which is 2 and all possible outcome is the total numbers of '1', '2' and '3' which is 10

since the ball are replaced after each drawn then;

Probability = required outcome / all possible outcome

=2/10

=1/5

Therefore the probability that the coin labeled '1' will be drawn next is 1/5