A balanced die is thrown. Find the probabilit | vedclass

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(D) When a balanced die is thrown,the total number of possible outcomes is $S = \{1, 2, 3, 4, 5, 6\}$.Thus,the total number of outcomes $n(S) = 6$.Let

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$1/3$

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(D) When a balanced die is thrown,the total number of possible outcomes is $S = \{1, 2, 3, 4, 5, 6\}$.Thus,the total number of outcomes $n(S) = 6$.Let $E$ be the event that the number on the die is smaller than $3$.The favorable outcomes are $E = \{1, 2\}$.Thus,the number of favorable outcomes $n(E) = 2$.The probability $P(E)$ is given by the formula $P(E) = \frac{n(E)}{n(S)}$.$P(E) = \frac{2}{6} = \frac{1}{3}$.

$A$ balanced die is thrown. Find the probability that the number on the die is smaller than $3$.

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