Question

Suppose there are 15 chairs in a room. Ten of the chairs have cushions, and five do not. Of the chairs with cushions, seven are old, and three are new. What is the probability of sitting in a chair that has an old cushion?

a. 70%
b. 55%
c. 47%
d. 52%

Answer 1

The probability of sitting in a chair that has an old cushion is calculated by dividing the number of old cushioned chairs (7) by the total number of chairs (15), which is approximately 46.67%.

Step-by-step explanation:

To calculate the probability of sitting in a chair that has an old cushion, we need to consider the total number of chairs with old cushions versus the total number of chairs in the room. According to the information provided, there are seven old cushioned chairs out of a total of 15 chairs.

The probability is therefore the number of favorable outcomes (sitting in an old cushioned chair) divided by the number of possible outcomes (sitting in any chair). This would be calculated as:

Probability = Number of Old Cushioned Chairs / Total Number of Chairs = 7 / 15

When converted to a percentage, the probability is (7/15) * 100%, which is approximately 46.67%. This means that there is roughly a 46.67% chance of sitting in a chair with an old cushion.