A children's game has a spinner that is equally likely to land on any 1 of 4 colors: red, blue, yellow, or green. Determine the probability of spinning a red both times on 2 spins. Explain your reasoning.
1/4 * 1/4 = ?
Probability is the same for each spin.
http://www.members.cox.net/dagershaw/lol/Odds.html
0.0625
To determine the probability of spinning a red both times on 2 spins, we need to consider the total number of possible outcomes and the number of favorable outcomes.
We're given that the spinner is equally likely to land on any one of the four colors (red, blue, yellow, or green). So, the probability of spinning a red on the first spin is 1 out of 4 (since there is only one red color).
On the second spin, the probability of spinning a red is still 1 out of 4, regardless of the outcome of the first spin.
To find the probability of both events occurring (spinning a red on both spins), we must multiply the probabilities of each individual event together.
So, the probability of spinning a red on both spins is:
P(Red on first spin) * P(Red on second spin)
= (1/4) * (1/4)
= 1/16
Therefore, the probability of spinning a red both times on 2 spins is 1/16.
Please let me know if anything is unclear or if you need further assistance!
To determine the probability of spinning a red color both times on 2 spins, we need to calculate the probability of spinning a red on the first spin and then spinning a red again on the second spin.
The probability of spinning a red on the first spin is 1 out of 4, since there are 4 possible colors and each color is equally likely.
After spinning a red on the first spin, there are 3 colors left (blue, yellow, and green) and we want to spin a red again on the second spin. The probability of spinning a red on the second spin is now 1 out of 3, since there are only 3 colors remaining.
To find the overall probability, we multiply the probability of the first event by the probability of the second event:
Probability of spinning a red both times = Probability of spinning a red on the first spin * Probability of spinning a red on the second spin
= (1/4) * (1/3)
= 1/12
Therefore, the probability of spinning a red both times on 2 spins is 1/12 or approximately 0.0833.