Math A

Working with
Theoretical Probability

 

Theoretical probability is the ratio of the number of ways the event can occur to the total number of possibilities in the sample space.
 

 

 

1. A dime is tossed.   It is a fair, unbiased coin. 

a.  What is the sample space?

b.  What is the probability that a head will appear?

c.  What is the probability that a tail will appear?

 

 

2. A die is tossed.   It is a fair, unbiased die.   List the outcomes for each event below and the probability of the event.

a.  A number less than or equal to 3 appears.

b.  An odd number is tossed.

c.  A number greater than 2 appears.

 

 

3. A standard deck of 52 cards is shuffled and one card is drawn.  What is the probability that the card is:

a.  a black card?

b.  a king?

c.  an eight of spades?

 

 

4. A class contains 18 boys and 12 girls.  The teacher calls on students at random to recite.  What is the probability that the first student called upon to recite is:

a.  a boy?

b.  a girl?

 

 

5. A letter is chosen at random from a given word.  Find the probability that the letter is a vowel if the word is:

a.  ALGEBRA

b.  PROBABILITY

 

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Roberts