Question

Forty-eight percent 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. $37.6\%$of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(L OR C).

Short answer

$P(LOR\hspace{0.17em}C)=0.649$

Step-by-step solution

Content Introduction

There are two events:

C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder.

L = Latino Californians.

Content Explanation

Given that,

$$\begin{gathered} P\left(C\right)=0.48 \\ P\left(L\right)=0.376 \end{gathered}$$

Therefore,

$$\begin{gathered} P(L\hspace{0.17em}OR\hspace{0.17em}C)=P\left(L\right)\hspace{0.17em}+P\left(C\right)-P(LAND\hspace{0.17em}C) \\ =0.376+0.48-0.207 \\ =0.649 \end{gathered}$$