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can someone help me with these probability questions?? i want to make sure that i solved these questions right.
Try flipping a coin. The two possible outcomes are H (heads) or T (tails).

Try flipping a coin twice. The four possible outcomes are HH, HT, TH, TT.


1) Try flipping a coin three times. What are the possible outcomes?

a) Each of the outcomes you found in question (1) are equally likely. Since there are eight outcomes, the probability of each outcome is . With this in mind, what is the probability that when you flip a coin 3 times, you get TTT?

b) When you flip a coin 3 times, what is the probability you get HTH?

c) When you flip a coin 3 times, what is the probability you get TTH?

d) When you flip a coin 3 times, what is the probability you get two heads and one tail?


2) Try flipping a coin four times. What are the possible outcomes?

a) Each of the outcomes you found in question (2) are equally likely. What is the probability of each outcome?

b) When you flip a coin 4 times, what is the probability you get HHHH?

c) When you flip a coin 4 times, what is the probability you get THTH?

d) When you flip a coin 4 times, what is the probability you get two heads and two tails?

e) When you flip a coin 4 times, what is the probability you get one head and three tails?

Respuesta :

AL2006
When you say "I want to make sure that I solved them correctly,
the tasteful, less suspicious thing to do is to list YOUR solutions,
so that the responder can either say "that one's correct" or else
show you how to do it.

1). HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
a).  The probability of each one is 1/8 = 12.5% .
b). There's only one of those on the list.  12.5%
c). 12.5%
d). There are 3 ways that can happen.  3/8 = 0.375 = 37.5%

2). There are 16 possible outcomes.
a). Prob of each outcome is  1/16 = 0.0625  =  6.25% .
b). There's only 1 way that can happen, so it's 6.25% .
c). There's only 1 way that can happen, so it's 6.25% .
d).  There are 6 ways that can happen.  Prob = 6/16 =  37.5%
e). There are 4 ways that can happen.  Prob = 4/16 = 25%

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