SOLUTION: cards marked with the numbers 2 to 101 are placed in a box.One card is drawn from this box.Find the proability that the number on the card is

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Question 828525: cards marked with the numbers 2 to 101 are placed in a box.One card is drawn from this box.Find the proability that the number on the card is * An odd number * An even number *A number less than 14 *A number is a perfect square *A prime number less than20
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Total number of cards, N=100
50 are even, 50 are odd.
P(odd)=50%2F100=1%2F2
P(even)=50%2F100=1%2F2
Cards less than 14 : {2,3,4,5,6,7,8,9,10,11,12,13} 12 instances or P(N<14)=12%2F100=3%2F25
Perfect squares : {4,9,16,25,36,49,64,81,100} 9 instances or P(perf. sq.)=9%2F100
Prime number less than 20: {2,3,5,7,11,13,17,19} 8 instances or P(P<20)=8%2F100=2%2F25