A coin is tossed four times. Assuming the coin is equally likely to land on heads or tails, compute the probability of the event occurring. (Enter your probability as a fraction.)
All 4 coin tosses are identical.
The probability of landing heads on each individual coin toss is 1/2.
Therefore, the probability of all 4 coin tosses landing heads is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
So, the probability of all 4 coin tosses being identical is 1/16.
no
I apologize for the mistake. Let's calculate the correct probability.
There are 2 outcomes for each coin toss (heads or tails), so there are a total of 2^4 = 16 possible outcomes for 4 coin tosses.
There is only 1 way in which all 4 coin tosses can be identical (either all heads or all tails).
Therefore, the probability of getting all 4 coin tosses to be identical is 1 out of 16 possible outcomes.
So the correct probability is 1/16.