Answer :
Final answer:
To find the probability of selecting a blue counter, subtract the number of red and green counters from the total and then divide the number of blue counters by the total number of counters. There are 9 blue counters out of 20, so the probability is 9/20 or 0.45, which is 45%.
Explanation:
To find the probability that Lethna takes a blue counter from the box, we first need to determine how many blue counters are in the box. We know there are 6 red counters, 5 green counters, and the total number of counters is 20. The rest of the counters are blue, so if we subtract the number of red and green counters from the total, we get the number of blue counters.
Number of blue counters = Total number of counters - Number of red counters - Number of green counters
= 20 - 6 - 5
= 9 blue counters
Therefore, the probability of Lethna taking a blue counter is the number of blue counters divided by the total number of counters.
Probability (P) of taking a blue counter = Number of blue counters / Total number of counters
P(blue) = 9 / 20
P(blue) = 0.45 or 45%