A die roll involves rolling a six-sided cube with numbers 1-6 on each face, while a coin toss involves flipping a coin with two possible outcomes: heads or tails.
There are 42 possible outcomes because the die has 6 possible outcomes and the coin has 2 possible outcomes. When we multiply these numbers together, we get 12 possible outcomes for each number on the die. Therefore, 6 x 12 = 42 possible outcomes for a die roll and coin toss.
The probability of getting a specific outcome is 1/42, or approximately 2.38%. This is because all outcomes have an equal chance of occurring, and there are 42 possible outcomes.
Dice and coins are often used in experiments because they provide a simple and random way to generate outcomes. This helps eliminate any potential biases or patterns in the results.
No, the outcomes of a die roll and coin toss are completely random and cannot be manipulated. As long as the die and coin are properly balanced, each outcome has an equal chance of occurring.