Answer:
[tex]\frac{7}{12} = 0.5833[/tex] = 58.33% probability that the outcome is less than 6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For the penny there are two outcomes, and for the die there are 6. So 2*6 = 12 total outcomes.
If the penny is tails, there are 5 outcomes which are less than 6. If it is heads, as the value is multiplied by 2, only 2 values of the die(1 or 2) will be below 6 after being multiplied by 2. So 5 + 2 = 7 total outcomes
What is the probability that the outcome is less than 6?
[tex]p = \frac{7}{12} = 0.5833[/tex]
[tex]\frac{7}{12} = 0.5833[/tex] = 58.33% probability that the outcome is less than 6
