Download 29) There are balls numbered 1 through 5 in a box. Two balls are

29) There are balls numbered 1 through 5 in a box. Two balls are selected at
random in succession without replacement, and the number on each ball is
noted. How many outcomes does this is experiment have? What probability
should be assigned to each? What probabilities should be assigned to the event
that at least one ball has an odd number?
5 * 4 = 20 outcomes
What probability should be assigned to each?
1
20
What probabilities should be assigned to the event that at least one ball has an odd
number?
There are 3 odd numbers {1, 3, 5) and 2 even numbers {2, 4} Note the phrase “at least”
We could draw an odd and then a different odd: 3 * 2 = 6
We could draw and odd and then an even: 3 * 2 = 6
We could draw and even and then an odd: 2 * 3 = 6
6 + 6 + 6 = 18
and
18 9

20 10