If we toss four fair coins, what is the probability that we get exactly four tails?
.5*.5*.5*.5=1/16
To calculate the probability of getting exactly four tails when tossing four fair coins, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes:
When tossing each coin independently, there are two possible outcomes for each coin (heads or tails). Since we are tossing four coins, the total number of possible outcomes is 2^4 = 16.
Number of favorable outcomes:
We want exactly four tails, so there is only one favorable outcome (TTTT).
Probability:
The probability of getting exactly four tails is given by the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 16
Probability = 1/16 = 0.0625 (or 6.25%)
Therefore, the probability of getting exactly four tails when tossing four fair coins is 0.0625 (or 6.25%).
To calculate the probability of getting exactly four tails when tossing four fair coins, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Each coin toss has two possible outcomes: heads (H) or tails (T). Since we are tossing four coins, the total number of possible outcomes is 2^4 = 16.
Now, we need to determine the number of favorable outcomes, which in this case is getting exactly four tails (TTTT).
There is only one way to get four tails in four coin tosses, as there are no other possible outcomes with four tails. Therefore, the number of favorable outcomes is 1.
Thus, the probability of getting exactly four tails when tossing four fair coins is 1/16.