Question

Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive. What is the probability that the number will be more than 5 or odd? (Enter your probability as a fraction.)

Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)

rolling a 4 or doubles

Use the data in the table below, which shows the employment status of individuals in a particular town by age group.

Age	Full-time	Part-time	Unemployed
0—17	27	170	358
18—25	199	199	272
26—34	342	71	22
35—49	521	175	238
50+	350	165	303

If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

Answer 1

Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive. What is the probability that the number will be more than 5 or odd? (Enter your probability as a fraction.)

We have 5 numbers(6,7,8,9,10) above 5 and 5 odd numbers(1,3,5,7,9) in ten numbers. The common numbers in these two are 7 and 9. So the probability that the number will be more than 5 or odd is

P(x>5 U x is odd)= P(x>5) +p(x is odd) -p(x>5 x is odd)

=5/10+5/10-2/10

=4/5

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Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)

rolling a 4 or doubles

Probability of rolling a sum of 4 =3/36=1/12

Probability of both die showing the same number is =6/36=1/6

Sum of two variables
	y
x	1	2	3	4	5	6
1	2	3	4	5	6	7
2	3	4	5	6	7	8
3	4	5	6	7	8	9
4	5	6	7	8	9	10
5	6	7	8	9	10	11
6	7	8	9	10	11	12

The common numbers in these two is one.

Probability of rolling a 4 or doubles= 3/36+6/36-1/36=2/9

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If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

Age	Full-time	Part-time	Unemployed	Total
0—17	27	170	358	555
18—25	199	199	272	670
26—34	342	71	22	435
35—49	521	175	238	934
50+	350	165	303	818
Total	1439	780	1193	3412

The probability that the person is under 18 =555/3412

The probability that the person employed part-time= 780/3412

The common numbers in these two is that the person is under 18 and employed part-time=170/3412

P(x<18 U x is employed part-time)= P(x<18 +p(x is employed part-time) -p(x<18 x is employed part-time)

=555/3412+780/3412-170/3412=

1165/3412​