Answer:
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.