4.9 Practice 2: calculating probabilities

Student learning outcomes

• Students will define basic probability terms.
• Students will calculate probabilities.
• Students will determine whether two events are mutually exclusive or whether two events are independent.

Given

48% of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55% prefer life in prison without parole over the death penalty for a person convicted of first degree murder. ( Source: http://field.com/fieldpollonline/subscribers/Rls2393.pdf ).
37.6% of all Californians are Latino ( Source: U.S. Census Bureau ).

In this problem, let:

• $\mathrm{C\; =\; Californians\; (registered\; voters)\; preferring\; life\; in\; prison\; without\; parole\; over\; the\; death\; penalty\; for\; a\; person\; convicted\; of\; first\; degree\; murder}$
• $\mathrm{L\; =\; Latino\; Californians}$

Suppose that one Californian is randomly selected.

Analyze the data