In classifying hypertension, three categories are used: individuals whose systolic blood pressures are less than 140, those with blood pressures between 140 and 160, and those with blood pressures over 160. For males between the ages of eighteen and twenty-four, systolic blood pressures are normally distributed with a mean equal to 124 and a standard deviation equal to 13.7. Suppose a random sample of ten individuals from that particular demographic group is examined. What is the probability that six of the blood pressures will be in the first group, three in the second, and one in the third?