Max tossed a fair coin 3 times. What is the probability of getting heads in the first two trials and tails in the last trial?
A. 4/8
B. 3/8
C.2/8
D.1/8
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OpenStudy (ronlover101):
it is either b or c
OpenStudy (ronlover101):
but i am leaning towards b
OpenStudy (gabebae):
He's doing three trials
OpenStudy (gabebae):
I'd go with B as well
OpenStudy (ronlover101):
I am meaning a or b
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OpenStudy (ronlover101):
me two
OpenStudy (gabebae):
@nmcclure17
Pick B
OpenStudy (anonymous):
okay thanks
What are you going to say @ospreytriple ?
OpenStudy (anonymous):
Since each toss is an independent event, you multiply the probabilities for each together, i.e.\[P(HHT)=P(H)\times P(H)\times P(T)\] And you probably know the probability of getting a head or a tail on one coin flip.
OpenStudy (anonymous):
ya its 1/2
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OpenStudy (anonymous):
Nope. Try again. What's the probability of getting a head on the first toss?
OpenStudy (anonymous):
1/3?
OpenStudy (anonymous):
Sorry, I might have misunderstood you last comment. You were meaning that the probability of getting a head (or the probability of getting a tail) on each toss is 1/2?
OpenStudy (anonymous):
If that's what you meant, then you're correct. Now multiply the three probabilities together to get the overall probability.
OpenStudy (anonymous):
1/8
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OpenStudy (anonymous):
@ospreytriple ??
OpenStudy (anonymous):
You're correct. Good job. Sorry, I lost my connection.