Question

a probability experiment consists of rolling a 6 - sided die, numbered 1 to 6. find the probability of the event below. rolling a number less than 3 the probability is □. (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Determine total outcomes

A 6 - sided die has 6 possible outcomes, so \( n(S)=6 \).

Step2: Determine favorable outcomes

Numbers less than 3 on a die are 1 and 2. So \( n(E) = 2 \).

Step3: Use probability formula

The probability formula is \( P(E)=\frac{n(E)}{n(S)} \). Substituting values, \( P(E)=\frac{2}{6}=\frac{1}{3}\approx0.333 \).

Answer:

\( 0.333 \)