Answer :
Answer:
7/24
Step-by-step explanation:
red counters= 0.25 of all counters so yellow + green= 0.75
7x+11x= 75k
18x=75k
6x= 25k
x=25, k=6
18x= 450 ⇒ 0.75 of all
⇒ total= 450/3*4= 600
green= 7*25= 175
probability of green= 175/600= 7/24
Final answer:
The probability that the counter Ismael picks is a green one is approximately 0.29.
Explanation:
To solve this, first recognize that the total probability of picking any counter (green, yellow, or red) must be 1. Given that the probability of picking a red counter is 0.25, the combined probability of picking either a green or yellow counter is 1 - 0.25 = 0.75.
Next, understand that the ratio of green to yellow counters is 7:11, which means for every 7 green counters, there are 11 yellow ones. So the total number of green and yellow counters is 7 + 11 = 18.
The probability of picking a green counter is therefore the ratio of green counters to the total number of green and yellow counters, multiplied by the combined probability of green and yellow. That's (7 / 18) * 0.75 = 0.2916667, or approximately 0.29 when rounded to two decimal places.
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