Question

. Given that the person prefers Science and Social Studies, what is the probability that they prefer Math?I completed the vent diagram attached One hundred people were asked if they prefer Math, Science or Social Studies. The results are thefollowing:56 prefer Math43 prefer Science35 prefer Social Studies6 prefer all three subjects18 prefer Math and Science10 prefer Science and Social Studies12 prefer Math and Social Studies

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

One hundred people were asked if they prefer Math, Science or Social Studies. The results are the following:

56 prefer Math, 43 prefer Science, 35 prefer Social Studies, 6 prefer all three subjects, 18 prefer Math and Science, 10 prefer Science and Social Studies

and 12 prefer Math and Social Studies.

Given that the person prefers Science and Social Studies,

what is the probability that they prefer Math?

Step 2:

Recall that the probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

It is expressed mathematically as:

$\text{probability =}\frac{Numbe\text{r of favourable outcome}}{\text{Toltal number of possible outcomes}}$

We are required to find the probability that they prefer

q