Question

Suppose you select a number at random from the sample space {1, 2, 3, 4, 5, 6, 7, 8}. probability.

P(the number is positive)

P(the number is even)

Suppose you select a number at random from the sample space {1, 2, 3, 4, 5, 6, 7, 8}. probability.

P(the number is positive)

P(the number is even)

Answer 1

The probability of selecting a number at random from the sample space {1, 2, 3, 4, 5, 6, 7, 8} that is positive is:

There are 8 possible outcomes in the sample space, and 4 of them are positive (1, 2, 3, 4).

Therefore, P(the number is positive) = 4/8 = 1/2 = 0.5

The probability of selecting a number at random from the sample space {1, 2, 3, 4, 5, 6, 7, 8} that is even is:

There are 8 possible outcomes in the sample space, and 4 of them are even (2, 4, 6, 8).

Therefore, P(the number is even) = 4/8 = 1/2 = 0.5

So the probability of selecting a number at random from the sample space {1, 2, 3, 4, 5, 6, 7, 8} that is positive is 0.5 and the probability of selecting a number at random from the same sample space that is even is also 0.5.