Find the probability of randomly choosing three brown M&Ms in a row from a bag that contains 40 brown M&Ms out of 350 M&Ms total. Note that as you choose
them, you immediately eat them.
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The the probability of randomly choosing three brown M&Ms in a row and eat them immediately is 0.0014.

Step-by-step explanation:

Since we want to find the probability of randomly choosing three brown M&Ms in a row and they are eaten immediately after selecting them, this implies that we are dealing with a probability of without replacement.

Without replacement means the number of brown M&Ms and the total M&Ms decreases by one as we select one each in a row.

Therefore, we have:

Probability of selecting the first brown M&M without replacement = 40 / 350

Probability of selecting the second brown M&M without replacement = 39 / 349

Probability of selecting the third brown M&M without replacement = 38 / 348

Let B represents the the probability of randomly choosing three brown M&Ms in a row. Therefore, we have:

B = (40 / 350) * (39 / 349) * (38 / 348) = 0.114285714285714 * 0.111747851002865 * 0.109195402298851 = 0.00139455446243313

Approximating to 4 decimal places, we have:

B = 0.0014

Therefore, the the probability of randomly choosing three brown M&Ms in a row and eat them immediately is 0.0014.