Final answer:
The probability of sitting in a chair with an old cushion is 46.67%.
Step-by-step explanation:
To find the probability of sitting in a chair that has an old cushion, we need to consider the total number of chairs with old cushions and divide it by the total number of chairs in the room.
Given that there are 15 chairs in the room, 10 of which have cushions, and 7 of the chairs with cushions are old, the probability of sitting in a chair with an old cushion is:
P(Old Cushion) = (Number of chairs with old cushions) / (Total number of chairs in the room)
P(Old Cushion) = 7 / 15
P(Old Cushion) = 0.4667
= 46.67%