A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? (1 point)
start fraction 1 over 6 end fraction
start fraction 1 over 12 end fraction
start fraction 2 over 3 end fraction
one-fourth
start fraction 1 over 12 end fraction
On Friday nights the local diner serves three main entrées, each with a choice of vegetable. The entrées are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners (entrée and vegetable combinations) does the diner serve? List them
There are 9 possible dinner combinations:
1. Beef with spinach
2. Beef with broccoli
3. Beef with carrots
4. Chicken with spinach
5. Chicken with broccoli
6. Chicken with carrots
7. Fish with spinach
8. Fish with broccoli
9. Fish with carrots
To find the probability that the coin shows heads and the number cube shows 5, we need to multiply the probabilities of each event occurring.
The probability of getting heads on a coin toss is 1/2, since there are two equally likely outcomes: heads or tails.
The probability of rolling a 5 on a number cube (also known as a standard six-sided die) is 1/6, since there is only one possible outcome out of six possible outcomes.
To find the probability of multiple independent events occurring, we multiply their individual probabilities. Therefore, the probability that the coin shows heads and the number cube shows 5 is:
(1/2) * (1/6) = 1/12
So, the correct answer is "start fraction 1 over 12 end fraction".