Question

the following list shows all of the possible outcomes for flipping four coins. hhhh hhht hhth hhtt hthh htht htth httt thhh thht thth thtt tthh ttht ttth what is the probability of getting the same number of heads and tails? 3/8 1/8 1/4 3/4

Explanation:

Step1: Count total outcomes

There are \(16\) total possible outcomes (as shown in the list).

Step2: Count favorable outcomes

The outcomes with same number of heads and tails (2 heads and 2 tails) are \(HHTT\), \(HTHT\), \(HTTH\), \(THHT\), \(THTH\), \(TTHH\), so there are \(6\) favorable outcomes.

Step3: Calculate probability

Probability formula is \(P=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}\). So \(P = \frac{6}{16}=\frac{3}{8}\).

Answer:

\(\frac{3}{8}\)