there are 8 colors you spin twice what is the probability of spinning a blue than yellow? there are 1 yellow and 3 blues.
To find the probability of spinning a blue followed by a yellow, we need to consider the number of favorable outcomes (spinning a blue followed by a yellow) divided by the total number of possible outcomes.
Given:
- Total number of colors: 8
- Number of yellow: 1
- Number of blue: 3
The probability of spinning a blue on the first spin is 3/8, as there are 3 blue colors out of 8 total colors.
Since we are spinning twice, after the first spin, there will be 7 colors left, with 1 yellow remaining. Thus, the probability of spinning a yellow on the second spin is 1/7.
To find the probability of both events occurring (spinning a blue then a yellow), we multiply the probabilities:
P(blue then yellow) = P(blue) × P(yellow|blue)
= (3/8) × (1/7)
= 3/56
Therefore, the probability of spinning a blue followed by a yellow is 3/56.
To calculate the probability of spinning a blue and then a yellow when spinning twice with 8 colors, we need to consider the total number of outcomes and the desired outcomes.
Total number of outcomes when spinning twice with 8 colors:
For each spin, there are 8 possible colors. Since we are spinning twice, the total number of outcomes is 8 x 8 = 64.
Desired outcomes:
We want to spin a blue first and then a yellow.
From the given information, there is 1 yellow and 3 blues. So the number of ways to pick a blue first is 3, and the number of ways to pick a yellow next is 1.
Probability calculation:
To calculate the probability, we divide the number of desired outcomes by the total number of outcomes.
Probability = (Number of desired outcomes) / (Total number of outcomes)
= (Number of ways to pick a blue first) x (Number of ways to pick a yellow next) / (Total number of outcomes)
= (3 x 1) / 64
= 3/64
Therefore, the probability of spinning a blue first and then a yellow when spinning twice with 8 colors is 3/64.