Question

In a class, 14 like only Math (event M), 17 like only Humanities (event H), and 7 likeboth (M and H). Find P(M) and P(H).0.5 and 0.50.4667 and 0.53330.5946 and 0.67570.5526 and 0.6316

Answer 1

The answer is 0.5526 and 0.6316

EXPLANATION

Step 1

Draw the venn diagram

STEP 2

From the diagram, no of people that like maths(M)=14+7=21

From the diagram, no of people that like Humanities(H)=17+7=24

Total no of students =14+7+17=38

STEP 3

$\begin{gathered} P(M)=\frac{no\text{ of people that like maths}}{\text{Total no of students}}=\frac{21}{38}=0.5526 \\ P(H)=\frac{no\text{ of people that like Humanities}}{\text{Total no of students}}=\frac{24}{38}=0.6316 \end{gathered}$