Question

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box? (first answer will get brainliest)
1/18
4/9
5/9
17/18

Answer 1

Answer:

$p(O)=\frac{8}{18}=\frac{4}{9}$

And since we want the complement of choosing an orange juice box the answer would be:

$P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}$

And the nest answer for this case is:

5/9

Step-by-step explanation:

For this case we know that we have 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes, so then the size of the sample space is:

$8+4+6= 18$

Then we can find the probability of selecting an orange juice box with the definition of Laplace given by:

$p =\frac{possible}{total}$

And for this case the possible cases are 4 and the total 18 so then the probability is given by:

$p(O)=\frac{8}{18}=\frac{4}{9}$

And since we want the complement of choosing an orange juice box the answer would be:

$P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}$

And the nest answer for this case is:

5/9