When Jake tosses a coin and rolls a six-sided die, the possible outcomes are combinations of either Heads (H) or Tails (T) from the coin toss, and numbers 1 through 6 from the die roll.
Therefore, any outcome that suggests a number higher than 6 for the die roll is impossible. For instance, “Heads, Seven ” or “Tails, Seven ” would be impossible, as a standard six-sided die does not have a side numbered 7.
Possible outcomes would include combinations like:
- Heads, One
- Heads, Two
- Heads, Three
- Heads, Four
- Heads, Five
- Heads, Six
- Tails, One
- Tails, Two
- Tails, Three
- Tails, Four
- Tails, Five
- Tails, Six
How many total possible outcomes are there when rolling a 6-sided die?
One red and one green. So in order to answer this question we’re going to use something called the multiplication rule. So solution. So we have to think about how many ways can the red die land.
What are the possible outcomes of tossing a coin and rolling a die?
Great question! Since there are two possible outcomes from the coin toss and six from the die roll, the combined sample space consists of 2 x 6 = 12 unique outcomes. These combined outcomes are often shown as ordered pairs, such as (H, 1), indicating heads on the coin toss and a roll of 1 on the die.
How many different possible outcomes are there if you roll a six-sided die in the shape of a cube four times?
When rolling a six-sided die four times, there are 6 outcomes for each roll. The total number of different outcomes is calculated as 64, which equals 1296. Therefore, there are 1296 different possible outcomes in total.
What is the probability of flipping a head and rolling a 6 on a die?
Good point! The probability of** rolling a six **on a die is one-sixth, while the likelihood of landing on heads on a coin flip is one-half. To find the probability of both events happening together, we need to multiply the probabilities. Therefore, the probability of rolling a six and getting heads upon tossing the coin is 1/12.