A jar contains 4 marbles numbered 1 through 4. An experiment consists of randoml

Question

A jar contains 4 marbles numbered 1 through 4. An experiment consists of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card (hearts, diamonds, clubs, or spades).

How many outcomes are in the sample space for this experiment?


How many outcomes are in the event "an even number is drawn?"


How many outcomes are in the event "a number more than 2 is drawn and a red card is drawn?"


How many outcomes are in the event "a number less than 2 is drawn or a club is not drawn?"

Explanation / Answer

How many outcomes are in the sample space for this experiment?

4 possibilities from marbles selection and 4 possibilities from card selection so total combination = 4*4 = 16

Hearts = H, Diamond = D, spades = S, clubs = C)

sample space = {1H, 1D, 1S, 1C, 2H, 2D, 2S, 2C, 3H, 3D, 3S, 3C,4H, 4D, 4S, 4C)

How many outcomes are in the event "an even number is drawn?"

In half of the events, the even number is drawn = 8

How many outcomes are in the event "a number more than 2 is drawn and a red card is drawn?"
so 3 or 4 is chosen along with Hearts or diamond

so total combinations = 2*2 = 4

How many outcomes are in the event "a number less than 2 is drawn or a club is not drawn?"

number can be 1.

card can be anything but clubs so 3 choices.

so total required outcomes = 1*3 = 3

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