Question

Question

Ty flipped a coin and counted how many times it landed on heads and how many times it landed on tails. The frequencies are shown in the following table.

Result Number of
Times
Flipped
Heads : 26

Tails : 30


Based on the experiment, what is the probability of landing on heads?

Enter your answer as a fraction, like this: 42/53

Answer 1

To calculate the probability of landing on heads based on the given frequencies, you can use the formula for probability:

\[ P(\text{Heads}) = \frac{\text{Number of Heads}}{\text{Total Number of Flips}} \]

From the table, we have:

• Number of Heads = 26
• Number of Tails = 30

First, calculate the total number of flips:

\[ \text{Total Number of Flips} = \text{Number of Heads} + \text{Number of Tails} = 26 + 30 = 56 \]

Now, substitute into the probability formula:

\[ P(\text{Heads}) = \frac{26}{56} \]

Next, simplify the fraction \( \frac{26}{56} \). Both the numerator and denominator can be divided by 2:

\[ \frac{26 \div 2}{56 \div 2} = \frac{13}{28} \]

Thus, the probability of landing on heads is:

\[ \frac{13}{28} \]

So the final answer is:

\(\frac{13}{28}\)