Chapter 5: Probability and Random Variables

Constract a venn diagram representing the event.

Part (a) $\left(AorBorC\right)$

Part (b)$\left(\left(notA\right)\&B\right)$

Constract a venn diagram representing the event.

Part (a) (A (not B)).

Part (b) ((A or B) & (not(A & B)))

Consider the set consisting of the first $12$positive whole numbers $(1to12)$. Determine explicitly the numbers in the set satisfy each of the following conditions:

Part (a) at least $9$

Part (b) at most $10$

Part (c) between$5$and$8$inclusive.

Consider the set consisting of the first $10$positive whole numbers $(1to10)$.Determine explicitly the numbers in the set satisfy each of the following conditions:

Part (a) at least $6$.

Part (b) at most $3$.

Part (c) between $2$and $5$ inclusive.

What does it mean two events to be mutually exclusive.?

What does it mean three events to be mutually exclusive.?

An experiment has 20 possible outcomes, all equally likely. An event can occur in five ways. The probability that the event occurs is .

Answer true or false to the following statement and justify your answer. If event A and event B are not mutually exclusive, neither are events A,B and C for every event C.

Answer true or false to the following statement and justify your answer. If event A and event B are mutually exclusive, neither are events A,B and C for every event C.

Draw a venn diagram portraying four mutually exclusive events.