Question

Taylor flips two coins 4 times. Predict the number of times both coins will land on tails.
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Answer 1

When Taylor flips two coins, each coin can land on one of two sides (heads or tails). Thus, the possible outcomes for each flip of two coins are as follows:

- Heads, Heads (HH)
- Heads, Tails (HT)
- Tails, Heads (TH)
- Tails, Tails (TT)

There are a total of 4 possible outcomes when flipping two coins. Out of these outcomes, only one outcome corresponds to both coins landing on tails (TT).

To determine the expected number of times both coins will land on tails when this experiment is done 4 times, we can use the concept of probability.

The probability of getting both coins to land on tails in one flip is:

\[
P(TT) = \frac{1 \text{ favorable outcome}}{4 \text{ possible outcomes}} = \frac{1}{4}
\]

If Taylor flips the coins 4 times, the expected number of times both coins will land on tails can be calculated using the formula:

\[
\text{Expected number of tails} = \text{Number of tries} \times P(TT) = 4 \times \frac{1}{4} = 1
\]

Thus, we can predict that both coins will land on tails approximately **1 time** when flipped 4 times.