Question

a. An experiment consists of these three activities:

1. select a card from a standard 52 card deck
2. flip a coin
3. roll a die

How many elements are in the sample space of the experiment?

b. An experiment consists of these three activities:

1. select one card from a standard 52 card deck
2. flip a coin
3. roll a die

What is the probability of the event (spade, head, 3)? Round your answer to three decimal places.

c. A bag contains 10 marbles, 8 are red and two are green. I withdraw two marbles without replacement from the bag.

What is the probability that both marbles are red? (I.e., red and red)

Answer 1

a) The first place of the sample point can be filled in 52 ways.

The second place of the sample point can be filled in 2 ways.

The third place of the sample point can be filled in 6 ways.

Total no. of elements in the Sample Space- 52*2*6=624 ways.

b) There are 13 Spades in a Deck of 52 cards.
So probability that one Spade is drawn from the deck of 52 cards is-  

A coin has two sides named "Head" and "Tail".
So the probability that "Head" occurs when the coin is flipped is-

A die has 6 faces(1,2,3,4,5,6).
So the probability that 3 occurs when a 6 faced die is thrown is-

Probability of the event(spade,head,3) is given by =

c) Bag contains 8 Red and 2 Green Marbels. I withdraw 2 marbles without replacement from the bag-
The probability of drawing first Red marble is-
Since we're drawing two balls without replacement so now there are total 9 balls in the bag, and 7 red balls in the bag.

The probability of drawing second Red marble is-

The probability of being both the marbles are red is:

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