Kendra flips a coin 3 times. What is the
probability that she flips tails all 3 times?
the probability for a tail is the same as for a head ... 1/2
three consecutive tails ... (1/2)^3
To find the probability of Kendra flipping tails all three times, we need to know the total number of possible outcomes and the number of favorable outcomes.
First, let's determine the total number of possible outcomes when flipping a coin three times. Each coin flip has two equally likely outcomes: heads or tails. Since Kendra is flipping the coin three times, we multiply the number of outcomes for each flip, 2, by itself three times.
Total number of possible outcomes = 2 * 2 * 2 = 8
Now, let's determine the number of favorable outcomes, which in this case is Kendra flipping tails all three times. There is only one combination that will result in tails in all three flips.
Number of favorable outcomes = 1
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability of flipping tails all 3 times = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 8
Probability = 1/8 = 0.125
Therefore, the probability of Kendra flipping tails all three times is 0.125 or 12.5%.