+0  
 
0
62
3
avatar

Given that $a$ and $b$ are real numbers such that $-3\leq a\leq1$ and $-2\leq b\leq 4$, and values for $a$ and $b$ are chosen at random, what is the probability that the product $a\cdot b$ is positive? Express your answer as a common fraction.

 Aug 1, 2021
 #1
avatar+34316 
+2

(not positive of this)

 

TO be positive   both a and b  must be negative   OR   both  a and b must be positive

 

a neg  * b neg

3/4      *  2/6    =    3/12            because 3/4 of the a range is negative and 2/6 of the range of b is negative

 

a pos  *  b pos

1/4     *   2/6     = 2/12

 

3/12    +   2/12   = 5/12

 Aug 1, 2021
 #2
avatar
0

yes that is correct tysm!!!

Guest Aug 1, 2021
 #3
avatar+34316 
0

Yay   ....thanx for the feedback...it is nice to know sometimes, when doubtful of my answers, that the answer was correct ! cheeky

ElectricPavlov  Aug 1, 2021

21 Online Users

avatar
avatar
avatar