Question

draw a card from a box filled with numbered cards. cards are returned and shufled after each selection. whats the probability getting a multiple of 3? run trial ×1 run trial ×10 run trial ×100 total trials total successes percent success 0 0 0% 33% 41% 47% 54%

Explanation:

Step1: Count total cards

Count the number of cards in the box. There are 12 cards in total.

Step2: Count favorable outcomes

Identify the multiples of 3 among the cards. The multiples of 3 are 3, 6, 9. So there are 4 cards (since there are multiple 3s).

Step3: Calculate probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P = \frac{4}{12}\).

Step4: Convert to percentage

\(\frac{4}{12}=\frac{1}{3}\approx 0.333\), and \(0.333\times100 = 33.3\%\approx33\%\)

Answer:

33%