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.

2/5

step-by-step explanation: