. Cards marked with the number 2 to 101 are placed
in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is: (1) An even number (2) A number less than 14 (3) A number is perfect square (4) A prime number less than 20
A: 1: 1/2, 2: 3/25, 3: 9/100, 4: 2/25
B: 1: 1/2, 2: 4/25, 3: 3/10, 4: 2/25
C: 1: 1/2, 2: 3/25, 3: 1/10, 4: 3/25
D: 1: 1/5, 2: 3/25, 3: 1/10, 4: 2/25
Best Answer
Explanation:
1) The number on cards are 2 to 101, wherein even number are 2,4,6,..,100 = 50
Thus, the probability that it's an even number = 50/100 = 1/2
2) Here, numbers less than 14 are 2,3,4,5,6,7,8,9,10,11,12,13 = 12
Thus, the probability that it's a number less than 14 = 12/100 = 3/25.
3) The perfect squares are = 4,9,16,25,36,49,64,81,100 = 9
Thus, the probability that it's a perfect square = 9/100
4) The prime number less than 20 are 2,3,5,7,11,13,17,19 = 8
Thus, the probability that it's a prime number less than 20 = 8/100 = 2/25
Final Answer:
The correct answer is option (A), 1: 1/2, 2: 3/25, 3: 9/100, 4: 2/25
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