Question

a) Describe an experiments of the drawing of three cards from a deck of cards from which the jacks, queens and kings have been removed. (Note: these are 52 cards in a deck--13 cards are hearts, 13 cards are diamonds., 13 cards are clubs, and 13 cards are spades. A card with an ace counts as 1. Nine cards of each suit are marked 2 through 10. Ignore the jacks, queens, and kings, leaving 40 cards from which to draw.)

b) Is drawing a 3 of hearts, a 4 of diamonds, and a 5 of spades an outcome or an event? why?

c) Is the drawing of three cards whose numbers add to 10 an outcome or an event? why?

Answer 1

(b)

Drawing (i) a 3 of Hearts, (ii) a 4 of Diamonds and (iii) a 5 of Spades constitute an Event. It is not outcome.

Reason: An outcome is the result of an experiment. An event is a set of outcomes to which a probability is assigned. Here, Drawing (i) a 3 of Hearts, (ii) a 4 of Diamonds and (iii) a 5 of Spades form a set of outcomes to which probability is assigned and hence it constitutes an Event. It is not an outcome.

(c)

Drawing of three cards whose numbers add to 10 constitutes an outcome. It is not Event.

Reason: An outcome is the result of an experiment. An event is a set of outcomes to which a probability is assigned. Here, Drawing of three cards whose numbers add to 10 form the result of an experiment involving drawing three cards and hence it constitutes an outcome. It is not an Event.