The required probability of not getting all tails is 2037 / 2048.
Given that,
If you flip 11 coins, the probability of not getting all 11 tails is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.
Since each coin has 2 possible outcomes for a single toss i.e either head or tail.
Total number of sample spaces for the 11 coins to be tossed = 2^11 = 2048
The number of favorable outcomes for all tails = 11
Probability of not getting all 11 tails = 1 - probability of all are tails
= 1 - 11 / 2048
= 2037 / 2048
Thus, the required probability of not getting all tails is 2037 / 2048.
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