A coin is flipped 6 times. Heads and tails are equally likely to occur. Show your work. a) How many outcomes are there that the first two flips are heads or the last two flips are heads (or both)? b) What is the probability of gettting three heads in the first three flips? c) What is the probability of getting three heads given that the first two flips resulted in heads?
A coin is flipped 6 times. Heads and tails are equally likely to occur. Show your work. a) How many outcomes are there that the first two flips are heads or the last two flips are heads (or both)? b) What is the probability of gettting three heads in the first three flips? c) What is the probability of getting three heads given that the first two flips resulted in heads?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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A coin is flipped 6 times. Heads and tails are equally likely to occur. Show your work.
a) How many outcomes are there that the first two flips are heads or the last two flips are heads (or both)?
b) What is the probability of gettting three heads in the first three flips?
c) What is the probability of getting three heads given that the first two flips resulted in heads?
d) Now assume the coins is weighted. The probability of flipping heads is now 0.5. What is the probability that you flip exactly three heads if you flip the weighted coin 6 times?
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