Final answer:
If you flip a coin 13 times, the expected number of times you can get tails is 6, which is based on the probability of 50% for landing on tails per each flip. Option number a is correct.
Step-by-step explanation:
When you flip a coin, there is an equal chance of landing on heads or tails, which is a 50% probability for each side. Therefore, if you flip a fair coin 13 times, you can expect to get tails about half the time on average. The expected number of tails is calculated by multiplying the total number of flips by the probability of getting tails for each flip.
To find the expected number of tails:
- Total flips = 13
- Probability of tails = 0.5 (50%)
- Expected tails = Total flips × Probability of tails
So, the expected number of tails is:
13 flips × 0.5 probability of tails = 6.5
Since we cannot have half a flip, we round this number down to the nearest whole number which is 6. Therefore, the expected number of tails you can get when flipping a coin 13 times is approximately 6 times.