The colors red, orange, green, blue, indigo, and violet are written on slips of paper and placed in a hat. What is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)
my book says 1/5040
could you tell me how to get it
I think you may have forgotten one of the colors...yellow. There are 7 colors in the rainbow, so it would be 7! or 7x6x5x4x3x2x1 which would give you 5040.
youre my new bestfriend
thanks msp!
To solve this problem, we first need to determine the number of possible outcomes and the number of favorable outcomes.
The number of possible outcomes can be calculated using the factorial formula. Since there are 6 slips of paper, the total number of possible outcomes is 6!.
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Now, let's determine the number of favorable outcomes, which is the number of ways the slips can be chosen in the correct order.
Since the colors must be chosen in the order of the colors of a rainbow, there is only one possible order. Therefore, there is only one favorable outcome.
Now, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes.
Probability = Favorable Outcomes / Possible Outcomes
Probability = 1 / 720
Therefore, the probability that the slips will be chosen in the order of the colors of a rainbow is 1 in 720.
The colours can be arranged in 6! or 720 ways.
The above order is one of these.
So the prob of that particular order is 1/720