SOLUTION: A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at lea

Question 911952: A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?
0.5
0.125
0.75
0.875
None of these
Question 2
A person in a casino decides to play blackjack until he wins a game, but he will not play more than 3 games. Let W denote a win and L denote a loss. What is the sample space for this random experiment?
S = {WWW, WWL, WLW, , WLL, LWW, LWL, LLW, LLL}
S = {W, LW, LLW}
S = {W, LW, LLW, LLL}
S = {W, WW, WWW}
S = {W, WL, WWL, WWW}
Question 3
A person in a casino decides to play 3 games of blackjack. Let W denote a win and L denote a loss. Define the event A as �the person wins at least one game of blackjack�. What are the possible outcomes for this event?
{W, LW, LLW}
{W, WW, WWW}
{WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL}
{WWW, WWL, WLW, WLL, LWW, LWL, LLW}
{WWL, LWL, LLW}
Question 4
Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.
What is the probability that both students selected are freshmen?
�
�
⅙
1/12
it is impossible to tell because the outcomes are not equally likely
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?
Note: P(3 boys) = 1/8 ; P(3 girls) = 1/8
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P(at least one boy and at least one girl) = 1 - [(1/8)+(1/8)] = 3/4
------------------------------
Ans:: 0.75
===========================================
Question 2
A person in a casino decides to play blackjack until he wins a game, but he will not play more than 3 games. Let W denote a win and L denote a loss. What is the sample space for this random experiment?
Ans:: S = {WWW, WWL, WLW, , WLL, LWW, LWL, LLW, LLL}
============================================

Question 3
A person in a casino decides to play 3 games of blackjack. Let W denote a win and L denote a loss. Define the event A as �the person wins at least one game of blackjack�. What are the possible outcomes for this event?
Ans:: {WWW, WWL, WLW, WLL, LWW, LWL, LLW}
===================================
Question 4
Four students attempt to register online at the same time for an Introductory Statistics class that is full. Two are freshmen and two are sophomores. They are put on a wait list. Prior to the start of the semester, two enrolled students drop the course, so the professor decides to randomly select two of the four wait list students and gives them a seat in the class.
What is the probability that both students selected are freshmen?
---
# of ways to succeed:: 2C2 = 1
# of possible pairs:: 4C2 = 6
P(select 2 freshman) = 1/6
===============
Cheers,
Stan H.
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