Consider the experiment of rolling a single die. Find the probability of the
event described. What is the P(odd and prime)?
A) 1/6 B) 1/2 C) 2/3 D) 1/3
A prime number can only be divided evenly by itself and 1.
(It must be a positive whole number greater than 1)
1, 2, 3, 4, 5, 6 which of these numbers can be divided by itself and 1. This will give you the answer.
To find the probability of an event, we need to determine the number of favorable outcomes (outcomes that satisfy the event) and divide it by the total number of possible outcomes.
In this case, we want to find the probability of rolling an odd and prime number on a single die.
First, let's identify the odd numbers on a die: 1, 3, and 5.
Next, we'll identify the prime numbers on a die: 2, 3, and 5.
To find the numbers that are both odd and prime, we need to find the numbers that appear in both lists: 3 and 5.
Therefore, there are two favorable outcomes: rolling a 3 or rolling a 5.
Since a standard die has six possible outcomes (numbers 1 to 6), the total number of possible outcomes is 6.
Now, we can calculate the probability by dividing the number of favorable outcomes (2) by the total number of possible outcomes (6):
P(odd and prime) = favorable outcomes / total outcomes = 2 / 6 = 1/3.
Hence, the answer is D) 1/3.