A coin (H: heads; T: tails) is flipped and a number cube (1, 2, 3, 4, 5, 6) is rolled.
List all the favorable outcomes for the event "rolling an even number."
What is the probability of rolling an even number for this experiment?
Please help its urgent I only have 1 hour.
i need help
since the coin outcome does not matter, the outcomes are
H2,T2,H4,T4,H6,T6
so what fraction of the numbers on the cube are even?
To find the favorable outcomes for the event "rolling an even number," we need to consider the possible outcomes for both the coin flip and the number cube roll.
First, we need to determine the possible outcomes for the coin flip:
- Heads (H)
- Tails (T)
Next, we need to determine the possible outcomes for the number cube roll:
- 1
- 2
- 3
- 4
- 5
- 6
To identify the favorable outcomes for the event "rolling an even number," we only need to consider the even numbers from the number cube roll, which are 2, 4, and 6.
So, the favorable outcomes for the event "rolling an even number" are:
- Coin flip: H & Number cube roll: 2
- Coin flip: H & Number cube roll: 4
- Coin flip: H & Number cube roll: 6
- Coin flip: T & Number cube roll: 2
- Coin flip: T & Number cube roll: 4
- Coin flip: T & Number cube roll: 6
The total number of favorable outcomes is 6.
To calculate the probability of rolling an even number, we need to divide the number of favorable outcomes by the total number of possible outcomes.
The total number of possible outcomes can be determined by multiplying the number of outcomes for the coin flip (2) with the number of outcomes for the number cube roll (6), which is equal to 12.
Therefore, the probability of rolling an even number for this experiment is 6/12, which simplifies to 1/2 or 0.5.