Answer:
(a) 0.25
(b) 0.5
(c) 0.5256
(d) 0.025
Step-by-step explanation:
(a) There are 20 even numbers out of 40 the probability that both numbers are even is:
[tex]P=\frac{20}{40} *\frac{20}{40} =\frac{1}{4}=0.25[/tex]
(b) The events for which one number is even and one number is odd are:
- First is odd, second is even
- First is even, second is odd.
The probability is:
[tex]P = \frac{20}{40}*\frac{20}{40}+\frac{20}{40}*\frac{20}{40}=\frac{1}{2}=0.5[/tex]
(c) There are 29 numbers that are less than 30, the probability that both numbers are less than 30 is:
[tex]P=\frac{29}{40}*\frac{29}{40}=\frac{841}{1600}=0.5256[/tex]
(d) If any number from 1 to 40 is selected in the first pick, the probability that the same number is selected again is:
[tex]P=\frac{1}{40} =0.025[/tex]
