중학생 아들 수학 문제를 도와주고 있는데,  어려운 문제가 꽤나 많네요 ㅠㅠ

정규 과정은 별로 어렵지 않은데, 수학경시 대비반 같은 문제는 좀 어렵네요.

A fair coin is flipped, a standard six-sided die is rolled and a card is randomly selected from a standard deck of 52 playing cards. The Venn diagram shown can be used to organize the numbers of outcomes that include flipping heads (H), rolling a 6 (S) and/or selecting a diamond card (D). Use your answers to questions 17 through 19 to fill in this diagram.

 

1. (          ) ways - How many ways are there to flip heads, roll a 6 and select a diamond card?

                             Hint: This is the value of  | H ∩ S ∩ D |

2. (          ) ways - Since there are 1 x 1 x 52 = 52 ways to roll a 6 and flip heads, how many ways are there to roll a 6 and flip heads but not select a diamond card?

                             Hint: This is the value of  | S ∩ H  | = 52 to find the value of

 | (S ∩ H) \ D  |

 

제가 중학교 다닐 때는 여집합을 어떻게 표현했는지, 기억이 안나네요 ㅠㅠ

| A \ B | 를 A 와 B 가 교차할 때, 교차한 부분 제거하고 남은 A 의 나머지를 이렇게 \ 표현하네요.| 

 

3. (          ) ways - Since there are 1 x 6 x 52 = 312 ways to flips heads and 13 x 1 x 6 = 78 ways to select a diamond card and flip heads, how many ways are there to flip heads but not select a diamond card and not roll a 6?

 

                              Hint: This is the value of  | D ∩ H  | = 78 to find the value of

 | (D ∩ H) \ S  | . Remember that | H | = 312.

 

4. (          ) - What is the probability of rolling a 6 and not flipping heads or flipping heads and not selecting a diamond? Express your answer as a common fraction?

 

 

 

정답은 

1.  13

2.  39

3.  195

4.  11/24

 

4문제 중 하나라도 푸실 수 있다면, 감사히 받겠습니다.

아빠가 못푸는 문제가 점점 많아지면 안되는데 ㅠㅠㅠ