The probability that a certain event will occur is x.

The probability that the event will not occur is y.

q represents a probability value and q is different from zero

x>0

The probability that event A will occur is x, and the probability that event A will not occur is y, where y>3x.

An apartment building has apartments numbered 2 through 85, consecutively.

The probability of rain in Greg's town on Tuesday is 0.3. The probability that Greg's teacher will give him a pop quiz on Tuesday is 0.2. The event occur independently of each other.

Number x is randomly selected from the integers 42 to 92 inclusive

A box contains 3 pairs of blue socks and 2 pairs of green socks. Each pair consists of a left-hand and a right-hand sock.

Each of the socks is separate from its mate and thoroughly mixed together with the others in the box.

3 socks are randomly selected from the box.

An integer is randomly selected from the integers from 200 to 900 inclusive

After the first term, each term in a sequence is five times greater than half the preceding term. If x is the first term of the sequence, and x does not equal zero, is the value of the fourth term minus the second term an integer?

(1) x is a multiple of 12.

(2) x is a multiple of 56.

Let x and y be two distinct digits in the decimal x.yx, what is x?

(1) When rounded to the nearest integer, the decimal becomes y

(2) When rounded to the nearest tenth, the decimal becomes x.y