Faith is going to simultaneously toss a number cube with faces 1-6and a coin. What is the probability that faith will toss a 3 and heads?
The probability of tossing a 3 on a number cube is 1/6. The probability of getting heads on a coin is 1/2.
Since both events are independent, we can multiply the probabilities:
1/6 x 1/2 = 1/12
Therefore, the probability that Faith will toss a 3 and heads is 1/12.
To find the probability that Faith will toss a 3 and heads, you need to determine the number of favorable outcomes (tossing a 3 and heads) divided by the total number of possible outcomes.
1. Determine the number of favorable outcomes:
- There is only one way to obtain a 3 on the number cube (since it has the faces 1-6).
- There is only one way to obtain heads on the coin.
So, there is one favorable outcome.
2. Determine the total number of possible outcomes:
- The number cube has 6 faces, so there are 6 possible outcomes.
- The coin has 2 faces (heads and tails), so there are 2 possible outcomes.
Multiplying the number of possible outcomes for the number cube (6) by the number of possible outcomes for the coin (2), we get a total of 12 possible outcomes.
3. Calculate the probability:
Divide the number of favorable outcomes by the total number of possible outcomes:
1 favorable outcome / 12 possible outcomes = 1/12.
Therefore, the probability that Faith will simultaneously toss a 3 and heads is 1/12.