Question

you pick a card at random. what is p(greater than 6)? write your answer as a percentage rounded to the nearest tenth.

Explanation:

Step1: Determine total number of outcomes

There are 4 cards, so the total number of possible outcomes is 4.

Step2: Determine favorable outcomes

Numbers greater than 6 among 5, 6, 7, 8 are 7 and 8. So there are 2 favorable outcomes.

Step3: Calculate probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{greater than }6)=\frac{2}{4} = 0.5$.

Step4: Convert to percentage

To convert to a percentage, multiply by 100. So $0.5\times100 = 50.0\%$.

Answer:

50.0%