Problem

Let the sample space be $S=\{1,2,3,4,5,6,7,8,9,10\}$. Suppose the outcomes are equally likely. Compute the probability of the event $E=$ "an even number less than 8."
$P(E)=\square$ (Type an integer or a decimal: Do not round.)

Answer

Expert–verified
Hide Steps
Answer

Final Answer: $P(E)=\boxed{0.3}$

Steps

Step 1 :Let the sample space be $S=\{1,2,3,4,5,6,7,8,9,10\}$. Suppose the outcomes are equally likely. Compute the probability of the event $E=$ "an even number less than 8."

Step 2 :The event E is defined as "an even number less than 8". The even numbers less than 8 in the sample space S are \{2, 4, 6\}. So, there are 3 favorable outcomes.

Step 3 :The total number of outcomes in the sample space S is 10.

Step 4 :The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of outcomes. So, we need to calculate the ratio 3/10.

Step 5 :Final Answer: $P(E)=\boxed{0.3}$

link_gpt