Question

Cards with numbers 1,2,3,....100 are placed in a box and mixed thoroughly . one card is drawn what is the probability that the card drawn is 1. a prime number less than 30 2. a multiple of 5 and 7 3. a multiple of 5 or 7

Answer 1

1)number of possible outcomes=10
probability =10/100=1/10
2)number of possible outcomes
=2
probability=2/100=1/50
3)number of possible outcomes
=20+13
=33
probability = 33/100

Answer 2

1) possible outcomes are- 2,3,5,7,11,13,17,19,23,29
P(a prime no. less than 30)=10/100=1/10

2) possible outcomes are-35,70
P(a multiple of 5&7)=2/100=1/50

3) possible outcomes are- 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,7,14,21,28,42,49,56,63,77,84,91,98
P(a multiple of 5 or 7)=32/100=8/25