A marble is chosen from a pack containing eight marbles numbered

1

to

8

.

The number on the marble chosen will be recorded as the result.

Think about the accompanying occasions.

Occasion

A

: The marble chose has a number not exactly

4

.

Occasion

B

: The marble chose has an odd number.

Give the results for every one of the accompanying occasions.

In case there is more than one component in the set, separate them with commas.

(a)

Event"AorB":

(b)

Event"AandB":

(c) The supplement of the occasion

A

:

1)Assume that a sack contains 5 Green, 10 white balls. 2 balls are drawn haphazardly in a steady progression. What is the likelihood that the subsequent ball is Green?

2)Two individuals have had a go at looting in an administration office in Bangladesh. They were going to be caught yet gotten away effectively. To track down the genuine burglar, the RAB organized an untruth indicator test for 50 individuals (counting genuine looters) who were asserting that they are guiltless. Assume that the likelihood of location of not honest individuals is 0.90 and the likelihood of a guiltless individual to be distinguished as liable is 0.01. What is the likelihood Mr. X is blameworthy given that the test says he is?

Max and Stephen are at an eatery and will each request either a burger or a pizza. The likelihood Max arranges a burger is 0.6 (for example 60%). The likelihood that Stephen arranges a pizza is 0.5. The likelihood that both Max and Stephen request a burger is 0.34. Answer the accompanying inquiries.

Clue: Let M be the occasion that Max arranges a burger and S be the occasion that Stephen arranges a burger.

a) Calculate the likelihood that Stephen arranges a burger.

b) Calculate the likelihood that Max arranges a burger provided that Stephen arranges a burger.

c) Calculate the likelihood that either Max or Stephen (or both) orders a burger.

Positive Test Result Negative Test Result

You are lying 45 5 50

You were not lying 495 4455 4950

Total 540 4460 5000

=25

answer the accompanying as a rate with 2 decimal spots:

On the off chance that you had a negative test outcome, what are the possibilities you were really lying?

Assume you roll a six-sided pass on, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number similarly prone to happen on some random roll.

a) What is the likelihood of moving a significantly number?

b) If you roll the kick the bucket twice, what is the likelihood of moving a 4 on the principal roll and a 6 on the subsequent roll?

c) If you roll the kick the bucket twice, what is the likelihood of moving a 2 on the principal roll and a number bigger than 2 on the subsequent roll?