Question

Two red and two blue blocks are

placed into a bag. You

randomly

take one block out of the bag. If

you replace all the blocks each

time you take one out, how many

blue blocks would you expect to

pull if you try 12 times?

Answer 1

Since there are two blue blocks and four total blocks, the probability of pulling a blue block is 2/4 or 1/2. Since you replace the block each time, the probability of pulling a blue block remains constant for each trial.

Using the formula for the expected value of a binomial distribution, where n is the number of trials and p is the probability of success:

Expected value = n * p

Expected number of blue blocks pulled in 12 trials = 12 * (1/2) = 6

Therefore, you would expect to pull 6 blue blocks if you try 12 times, assuming the blocks are replaced each time.