to play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped. use a…

to play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped. use a table to represent the sample space. what is the probability of flipping a head and rolling either a 3 or a 5? round the percent to the nearest tenth. probability: %

to play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped. use a table to represent the sample space. what is the probability of flipping a head and rolling either a 3 or a 5? round the percent to the nearest tenth. probability: %

Answer

Explanation:

Step1: Calculate total outcomes

The number - cube has 6 possible outcomes and the coin has 2 possible outcomes. By the fundamental counting principle, the total number of outcomes in the sample space is $6\times2 = 12$.

Step2: Identify favorable outcomes

The favorable outcomes are flipping a head and rolling a 3 or a 5. There are 2 such favorable outcomes: (Head, 3) and (Head, 5).

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P=\frac{2}{12}=\frac{1}{6}$.

Step4: Convert to percentage

To convert $\frac{1}{6}$ to a percentage, we calculate $\frac{1}{6}\times100%\approx16.7%$.

Answer:

$16.7$