Workshop questions

Define what is meant by the following.

1. (a)

   Sample space

2. (b)

   Sample point

3. (c)

   Event

4. (d)

   Mutually exclusive

5. (e)

   Partition

1. (a)

   Draw a diagram of the sample space when two distinguishable dice are thrown.

2. (b)

   Indicate on the diagram the event that the sum is 7.

3. (c)

   Indicate on the diagram the event that the difference is 5.

Draw the Venn diagrams for the following sets:

(a) $A\cup (B\cap C)$ ,  (b) $(A\cup B)\cap (A\cup C)$,  (c) ${(A\cup B)}^c$,  (d) $A^c\cap B^c$.

Two cards are randomly selected from an ordinary 52 card playing deck. Find the probability that they form a blackjack, where one of the cards is an ace and the other one is either a ten, a jack, a queen, or a king.

Four mice are chosen (without replacement) from a litter. Of the mice in the litter, two are white. The probability that both white mice are chosen is twice the probability that neither is chosen. How many mice are there in the litter?