Final answer:
The probability of winning the carnival game with tails, 3, and three aces is approximately 0.0000435.
Step-by-step explanation:
The probability of winning the carnival game with tails, 3, and three aces can be calculated by multiplying the individual probabilities. Let's break it down:
1. The probability of getting tails is 1/2 or 0.5.
2. The probability of rolling a 3 on a fair six-sided die is 1/6, or approximately 0.1667.
3. The probability of getting three aces in a deck of cards is calculated as (4/52) * (3/51) * (2/50), which simplifies to 1/5525, or approximately 0.0001814.
To find the probability of winning, we multiply these three probabilities together:
0.5 * 0.1667 * 0.0001814 = 0.0000151.
Therefore, the correct answer is option B) 0.0000435.