Test 2 - Math 1342

Test 2 - Math 1342

Part - 01

1. The probability of getting a Red Card or a Queen

P ( Red Card or Queen ) = P ( Red Card ) + P ( Queen ) - P ( Queen and Red Card ) = 26/52 + 1/52 - 2/52

= 25 / 52

= 0.481

2. The probability of getting a Club or Black Card.

P ( Club or Black Card ) = P ( Club ) + P ( Black Card ) - P ( Club and Black Card ) = 13/52 + 26/52 - 13/52

= 26 / 52

= 0.5

3. The probability of getting a Heart on the first pick and a Red Card on the second pick.

P ( Heart and Red Card ) = P ( Heart ) * P ( Red Card ) = 13/52 * 25/51

= 325 / 2652

= 0.122

4. The probability of getting a 5 on the first pick and a 10 on the second pick.

P ( 5 and 10 ) = P ( 5 ) * P ( 10 ) = 4/52 * 4/51

= 16 / 2652

= 0.006

5. The probability of not getting a blank bill

Sample Space ( S ) = 3 + 5 + 2 +10 = 20 bills

P ( Blank Bill )

= 10 / 20

= 0.5

6. The probability of picking a blue ball.

In this case, the probability of picking a jar = 1 / 2

The probability of picking a blue ball from Jar No. 01 = 5 / 10

The probability of picking a blue ball from Jar No. 01 = 1 / 10

Therefore, P ( Blue ball ) = ( Blue ball from either jar no. 01 or jar no. 02 )

= P ( Jar No. 01 and Blue ball ) or P ( Jar No. 02 and Blue ball )

= (1/2) (5/10) + (1/2) (1/10)

= 5/20 + 1/20

= 6 / 20

= 0.3

Part - 02

Table for Mail Delivery

Delivered to

First Class

Ads

Magazine

Total

Home

100

400

300

800

Business

700

1000

200

1900

Total

800

1400

500

2700



7. The probability that the mailed item was First Class or it went to a home.

P ( First Class or Home ) = P ( First Class ) + P ( Home ) - P ( First Class and Home ) = 800 / 2700 + 800 / 2700 - 100 / 2700

= 1500 / 2700

= 0.56

8. The probability that ...