Sometimes a problem will not specifically state whether it is a problem
"with or without replacement". In these cases it is very important
to ask yourself this question:
"Is this problem with replacement?"
or
"Is this problem without replacement?"
Let common sense and a little intuition guide you through these
types of problems.
Using a standard 52 card deck, what is the
probability of drawing 2 spades in a row, without replacement?
A. 2/13
B. 1/17
C. 2/2652
D. 25/2652
A bag contains 4 blue and
6 red marbles. Sam selects a marble, puts it in his pocket and
then selects a second marble. What is the probability that the
first marble is blue, and the second one red?
A. 4/15
B. 10/24
C. 1/9
D. 1
Each digit 1 - 9 is written on a card. With the cards shuffled
and laying face down on the table, you choose a card, record the
number and place it back with the other cards. The cards are then
reshuffled and a second card is chosen. What is the
probability that both cards were "odd"?
A. 1/2
B. 1/50
C. 1/5
D. 1/4
Jane had a bag of hard candies: 5 were grape, 6 were cherry and 9
were lemon flavored. She ate two candies while waiting for the
bus, one right after the other. What is the probability that
both candies were grape flavored?
A. 1/4
B. 1/2
C. 1/19
D. 9/380
The President and Vice President of the class was to be selected
from the following group of students:
Jill, John, Jamie, Bob, Betty, Bruce, Sam, Sheila, Sue and Steve.
What is the probability that both officers have names beginning with
the letter "S"?