corey's mother randomly placed four blocks labelled c, o , r ,e and y on a shelf. the probability that she placed them on a shelf so they spell corey is what?
To calculate the probability of the blocks spelling "corey," we need to know the total number of possible arrangements of the 5 blocks (c, o, r, e, and y). Let's start by determining the total number of arrangements.
Since there are 5 blocks in total, and each block can be arranged in 5 different positions, the total number of arrangements is given by 5!.
5! = 5 x 4 x 3 x 2 x 1 = 120
So, there are 120 different arrangements of the blocks.
Next, we need to determine the number of favorable outcomes where the blocks spell "corey." There is only one possible arrangement for "corey."
Therefore, the probability of randomly placing the blocks on the shelf to spell "corey" is:
Probability = Number of Favourable Outcomes / Total Number of Outcomes
Probability = 1 / 120
Hence, the probability that Corey's mother placed the blocks on the shelf so they spell "corey" is 1/120 or approximately 0.0083.