Answer:
the probability of selecting a blue counter from the bag is 2/7 as a fraction in its simplest form
Step-by-step explanation:
To find the probability of selecting a blue counter from the bag, we need to determine the number of blue counters in relation to the total number of counters.
Given that the ratio of blue to red counters is 4:10, we can calculate the fraction representing the probability of selecting a blue counter.
The total ratio of counters can be simplified by dividing both numbers by their greatest common divisor, which in this case is 2. So the simplified ratio becomes 2:5.
This means that out of every 7 counters (2 + 5), 2 of them are blue. Therefore, the probability of selecting a blue counter is 2/7.
Thus, the probability of selecting a blue counter from the bag is 2/7 as a fraction in its simplest form.