if currently there are four cars occupying four of the six spots in a random arrangement, what is the probability that you will have to parallel park?

Respuesta :

The probability of a parallel park in the 5th spot out of 6 random arrangements is 2 ÷ 5.

The probability of the need to parallel park equal to the probability of 2 open spaces in the first 5 spots and not together equals the number of 2 possible open spots in the first 5 and not together ÷ The number of 2 possible open spots = (The number of 2 possible open spots in the first 5 - The number of 2 possible open spots together in the first 5) ÷ The number of 2 possible open spots.

The number of 2 possible open spots in the first 5 = nCr = C(5,2) = 10

The number of 2 possible open spots together in the first 5 = 4

The number of 2 possible open spots = nCr = C(6,2) = 15

The probability of the need to parallel park = (10 - 4) ÷ 15

= 6 ÷ 15

= 2 ÷ 5

To learn more about probability at

https://brainly.com/question/11234923?referrer=searchResults

#SPJ4