There are 3 red and 9 blue counters in a box. A counter is chosen and then replaced. If you did this 144 times, how many times would you expect to get a blue counter?
Answer (3)
If you do it 144 times that is (3+9) 12 This means that 12 times 3 red and 9 blue counters will be chosen that means that 9 blue counters will be chosen 12 times. 9 12 is 108. This means blue counters will be chosen 108 times. This can be checked as 108/3 would give you the number of red counters which is 36 and 108+36 is 144
To find the expected number of blue counters drawn from the box after 144 draws, calculate the probability of drawing a blue counter on each draw and multiply it by the total number of draws.
The number of times you would expect to get a blue counter can be calculated by considering the probability of drawing a blue counter on each draw. In this scenario, there are 9 blue counters and 3 red counters, making a total of 12 counters. Therefore, the probability of drawing a blue counter on each draw is 9/12 = 3/4.
After 144 draws, you can expect to get a blue counter approximately 3/4 * 144 = 108 times. This is because each time you choose a counter, it is replaced, and the probability remains the same for each draw.
After conducting 144 draws from a box containing 3 red and 9 blue counters, you can expect to draw a blue counter about 108 times. This is calculated by determining the probability of drawing a blue counter and applying it to the total number of draws. The probability of drawing a blue counter is 75%.
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