Ye,
in youre own words,
describe eating

The correct answer is:

P(male | buys lunch) = 0.4 and P(male) = 0.3.

Explanation:

If two events A and B are independent, then P(A|B) {read "probability of A given B} is equal to P(A).

There are 176+46 = 222 males. There are 254+264 = 518 females. This is a total of 222+518 = 740 people. This makes P(male) = 222/740 = 111/370 = 3/10.

There are 176+264 = 440 people that buy lunch. Out of these, 176 are male. This makes P(male | buy lunch) = 176/440 = 88/220 = 8/20 = 4/10. This is because we consider only those who buy their lunch, and look at the probability that someone in that group is male.

Since P(male | buy lunch) = 4/10 ≠ P(male) = 3/10, these events are not independent.