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Question

Two numbers are randomly selected on a number line numbered from one to nine. Match each scenario to its probability:

the probability that both numbers are greater than six if the same number can be chosen twice

the probability that both numbers are odd numbers less than six if the same numbers cannot be chosen twice

the probability that both numbers are less than seven if the same number can be chosen twice

the probability that both numbers are even numbers if the same numbers cannot be chosen twice

1/12

1/9

4/9

1/6

Answer 1

1. The probability that both numbers are greater than six if the same number can be chosen twice

are 7,8,9,or 3 numbers and because P( > 6) = 3²/9² = 1/9

2.The probability that both numbers are odd numbers less than six if the same numbers cannot be chosen twice: odd numbers less 6 are 1, 3, 5 and because P(odd , less 6) = P(3,2)/P(9,2) = 6/72 = 1/12

3. The probability that both numbers are less than seven if the same number can be chosen twice

P( < 7) = 6²/.9² = 4

4.The probability that both numbers are even numbers if the same numbers cannot be chosen twice

Even numbers are 2, 4, 6, 8 so 4 numbers. P(even) = P(4,2)/P(9,2) = 12/72 = 1/6