Find the probability of obtaining exactly one tails when flipping four coins
There will be 8 permutations.
To have exactly one Tail (T) would be
THHH
HTHH
HHTH
HHHT , or such cases,
so .....
To find the probability of obtaining exactly one tails when flipping four coins, we need to calculate the number of favorable outcomes (getting exactly one tails) divided by the total number of possible outcomes.
Let's break it down step by step:
Step 1: Determine the total number of possible outcomes when flipping four coins.
When flipping a single coin, we have two possible outcomes: heads (H) or tails (T). Since we are flipping four coins, the total number of possible outcomes is 2*2*2*2 = 2^4 = 16.
Step 2: Determine the number of favorable outcomes (getting exactly one tails).
To get exactly one tails, we have four possible scenarios:
1) HHHH
2) THHH
3) HTHH
4) HHTH
Here, only three coins are heads, and one coin is tails. So there are four favorable outcomes.
Step 3: Calculate the probability.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4/16 = 1/4 = 0.25
Therefore, the probability of obtaining exactly one tails when flipping four coins is 0.25 or 25%.