Question
If a fair coin is tossed 11 times, in how many different ways can the sequence of heads and tails appear?
The sequence of heads and tails can appear
different ways.
(Type a whole number.)
The sequence of heads and tails can appear
(Type a whole number.)
Ask by Rowe Boone. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 2048 different ways the sequence of heads and tails can appear when a fair coin is tossed 11 times.
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When a fair coin is tossed, each flip results in either a head (H) or a tail (T), giving us 2 possible outcomes per flip. When we toss a coin 11 times, the total number of different sequences can be calculated using the formula
, where
is the number of flips. Thus, for 11 tosses, we have
different ways for the sequence of heads and tails to appear.
So, the sequence of heads and tails can appear 2048 different ways.