Question

Jorge rolls a six-sided die. What is the probability that he rolls a 1 or a prime number

Answer 1

0.67

Explanation

The probability formula provides the ratio of the number of favorable outcomes to the total number of possible outcomes. The probability of an Event = (Number of favorable outcomes) / (Total number of possible outcomes)

$P=\frac{favorable\text{ outcomes}}{\text{total outcomes}}$

then,let

total outcomes= 6 ( a six-sided die)

favorable outcomes= 1 or a prime number

hence, let's check the prime numbers( a prime number is a number that is divisible only by itself and 1 =

$\begin{gathered} s=\lbrace1,2,3,4,5,6\rbrace \\ \text{primer numbers=}\lbrace1,2,3,5\rbrace \end{gathered}$

so, the total of prime numbers and 1 is

Favorable outcomes(1 or a prime number)=4

Now, replace in the formula.

$\begin{gathered} P=\frac{favorable\text{ outcomes}}{\text{total outcomes}} \\ P=\frac{4}{6} \\ P=0.666 \\ P=0.67 \end{gathered}$

so, the probability is 0.67

I hope this helps you