A carnival game wheel has 12 equal sections. One of the sections contains a star. To win a prize, players must land on the section with the star on two consecutive spins. What is the probability of a player winning?
each spin is an independent event with a 1/12
probability of success
1/12 * 1/12 = ?
1/144
i needs the help
To calculate the probability of a player winning, we need to determine the number of favorable outcomes (landing on the section with the star on two consecutive spins) and the total number of possible outcomes.
The total number of possible outcomes can be calculated by multiplying the number of sections on the wheel by itself, since there are two spins. In this case, the wheel has 12 sections, so the total number of possible outcomes is 12 x 12 = 144.
Now, let's determine the number of favorable outcomes. Since the player must land on the section with the star on two consecutive spins, there is only one favorable outcome. The player must first land on the section with the star on the first spin, and then do so again on the second spin.
Therefore, the probability of winning is the number of favorable outcomes divided by the total number of possible outcomes: 1/144.
So, the probability of a player winning the carnival game is 1 out of 144, or approximately 0.0069, or 0.69%.