If an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above, what is the probability that the product of the two integers will be negative?
a. 0
b. 1/3
c. 2/5
d. 1/2
e. 3/5

D.  

Step-by-step explanation:

Given:

Set M = {-6, -5, -4, -3, -2}

Set T = {-2, -1, 0, 1, 2, 3}

Now, the product of two numbers is negative only if the numbers choses are of opposite sign.

A negative number is a number less than 0. A positive number is a number greater than 0.

So, the set M has all numbers as negative.

Set T has 2 negative and 4 positive numbers.

Now, probability of choosing a negative number from set M is 1 as all the numbers are negative. So,

Now, we need to find the probability of choosing a positive number from set T.

Set T has 3 positive numbers out of total 6 numbers.

Therefore, the probability of choosing a positive number from set T is given as:

Therefore, the probability that the product of the two integers will be negative is obtained by the product of the individual probabilities. This gives,

Therefore, the correct answer is option D.

there are no answer choices

step-by-step explanation: