Answer:
P ( All four) = 29/375=0.07733
P ( Three A^) = 124/375= 0.33067
P ( Two A^) = 120/375= 0.32
P (One A^) = 66/375= 0.176
P (None A^) = 36/375= 0.096
Step-by-step explanation:
Number of Similar Preferences  Number of Married Couples
All four 29
Three 124
Two 120
One 66
<u>None 36 </u>
<u>Total 375 </u>
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We want to determine the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common.
P ( All four) = 29/375=0.07733
P ( Three A^) = 124/375= 0.33067
P ( Two A^) = 120/375= 0.32
P (One A^) = 66/375= 0.176
P (None A^) = 36/375= 0.096
Probability is calculated by favorable outcome divided by the total outcome.
Similarly we obtained the probabilities of the couples that they will have 0, 1, 2, 3, or 4 personality preferences in common.