3.1 Exercise 5

the table describes the distribution of a random sample S of 100 individuals, organized by sex assigned at birth and whether they are right- or left-handed.

Let’s denote the events M = the subject is male, F = the subject is female, R = the subject is right-handed, L = the subject is left-handed. Compute the following probabilities:

1. P(M)
2. P(F)
3. P(R)
4. P(L)
5. P(M $\cap$ R)
6. P(F $\cap$ L)
7. P(M $\cup$ F)
8. P(M $\cup$ R)
9. P(F $\cup$ L)
10. P(M')
11. P(R$\left|\right.$M)
12. P(F$\left|\right.$L)
13. P(L$\left|\right.$F)