csat-suneung 2022 Q26 (Probability and Statistics)

csat-suneung · South-Korea · csat__math 3 marks Principle of Inclusion/Exclusion

A bag contains 10 cards with natural numbers from 1 to 10 written on them, one number per card. When drawing 3 cards simultaneously at random from the bag, what is the probability that the smallest of the three natural numbers on the drawn cards is at most 4 or at least 7? [3 points]
(1) $\frac { 4 } { 5 }$
(2) $\frac { 5 } { 6 }$
(3) $\frac { 13 } { 15 }$
(4) $\frac { 9 } { 10 }$
(5) $\frac { 14 } { 15 }$

A bag contains 10 cards with natural numbers from 1 to 10 written on them, one number per card. When drawing 3 cards simultaneously at random from the bag, what is the probability that the smallest of the three natural numbers on the drawn cards is at most 4 or at least 7? [3 points]\\
(1) $\frac { 4 } { 5 }$\\
(2) $\frac { 5 } { 6 }$\\
(3) $\frac { 13 } { 15 }$\\
(4) $\frac { 9 } { 10 }$\\
(5) $\frac { 14 } { 15 }$

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