单选题A die whose faces are numbered from l to 6 is rolled. Which of the following statements must be true?Ⅰ. The probability of getting a 4 on the top face is 2/3.Ⅱ. The probability of getting an odd number on the top face is 1/2.Ⅲ. The probability of getting a prime number on the top face is 1/2.AⅠand Ⅱ onlyBⅡ and Ⅲ onlyCⅠ and Ⅲ onlyDⅡ onlyEⅠ, Ⅱ, and IⅢ
单选题
A die whose faces are numbered from l to 6 is rolled. Which of the following statements must be true?Ⅰ. The probability of getting a 4 on the top face is 2/3.Ⅱ. The probability of getting an odd number on the top face is 1/2.Ⅲ. The probability of getting a prime number on the top face is 1/2.
A
Ⅰand Ⅱ only
B
Ⅱ and Ⅲ only
C
Ⅰ and Ⅲ only
D
Ⅱ only
E
Ⅰ, Ⅱ, and IⅢ
参考解析
解析：
There are total six different results when the die is rolled. Since any one of the six numbers many show up on the top face, the probability of getting a 4 on the top face is 1/6. Hence, Roman numeral Ⅰ is not true. Statement Ⅱ is true. Since there are three prime numbers, the probability is 3/6 or 1/2. Hence, Roman numeral Ⅲ is true.
There are total six different results when the die is rolled. Since any one of the six numbers many show up on the top face, the probability of getting a 4 on the top face is 1/6. Hence, Roman numeral Ⅰ is not true. Statement Ⅱ is true. Since there are three prime numbers, the probability is 3/6 or 1/2. Hence, Roman numeral Ⅲ is true.
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