A coin is tossed 12 times. What is the probability of getting exactly 6 tails?
What is the probability of getting 6 consecutive tails?
What is the probability of getting 6 consecutive tails?
1 Answer
The probability is
Explanation:
Let
Now let us consider the following:
-
probability of success from one toss be
color(red)(p) . -
probability of failure from one toss be
color(red)(q) . -
number of trials be
color(red)(n) . -
number of success be
color(red)(r) . -
number of failures is
color(red)(n-r) .
Hence, the total probability of succeeding is represented by
Here,
Now, substituting this into (1), we get
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