A game consists of spinning a wheel numbered 1 to 8 once and tossing an unbiased coin simultaneously. The result is recorded as an ordered pair (number, coin face).
a. (i) Construct the complete sample space S for this combined experiment.
b. (ii) Define event P: “the number obtained is even and the coin shows Heads.” List the favourable outcomes for P and state n(P).
c. (iii) Define event Q: “the number obtained is less than 4 or the coin shows Tails.” List the favourable outcomes for Q and state n(Q).
d. (iv) Determine the set of outcomes corresponding to the event P∩Q and write its cardinality.