Question

If a fair coin is flipped and a standard 6 sided die is rolled, what is the likelihood of getting 'heads' on the coin and a '5' on the die?

1. 75%
2. 5%
3. 10%
4. 8.3%

Answer 1

The likelihood of getting 'heads' on the coin and a '5' on the die is 8.3%, as it is the product of the probability of each independent event.

Therefore, the correct is 8.3%.

Step-by-step explanation:

To find the likelihood of getting 'heads' on the coin and a '5' on the die, you need to calculate the probability of each event happening independently and then multiply those probabilities together. The probability of getting 'heads' on a fair coin is 0.5, and the probability of getting a '5' on a standard 6-sided die is 1/6.

Therefore, the combined probability is (0.5) × (1/6), which equals 0.0833. Expressed as a percentage, this is 8.3%.

So, the likelihood of getting 'heads' on the coin and a '5' on the die is 8.3%, which corresponds to option 4 in your list of possible answers.