A jar contains 10 red marbles numbered 1 to 10 and 12 blue marbles numbered 1 to 12 . A marble is drawn at random from the jar. Find the probability of the given event.
(d) The marble is blue and even-numbered Your answer is
Answer
Final Answer: The probability of drawing a blue and even-numbered marble is \( \boxed{0.2727} \)
Step 1 ：The total number of marbles in the jar is 10 (red marbles) + 12 (blue marbles) = 22 marbles.
Step 2 ：The number of blue marbles is 12, and half of these are even-numbered (since half the numbers from 1 to 12 are even). So, the number of favorable outcomes (drawing a blue, even-numbered marble) is 6.
Step 3 ：The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes. So, the probability of drawing a blue and even-numbered marble is \( \frac{6}{22} = 0.2727 \)
Step 4 ：Final Answer: The probability of drawing a blue and even-numbered marble is \( \boxed{0.2727} \)
