Dystopia county has three bridges. in the next year, the elder bridge has a 16% chance of collapse, the younger bridge has a 4% chance of collapse, and the ancient bridge has a 21% chance of collapse. what is the probability that exactly one of these bridges will collapse in the next year? (round your final answer to four decimal places. do not round intermediate calculations.)

The answer is 0.3629

Step-by-step explanation:

Let E represent the elder bridge

Let Y represent the younger bridge

Let A represent the ancient bridge

The chance that the elder bridge will collapse next year is 16%

Pr(E) = 16%

= 0.16

The chance that the elder bridge will not collapse next year is Pr(E')

Pr(E')= 1 – 0.16

= 0.84

The chance that the younger bridge will collapse next year is 4%

Pr(Y) = 4%

= 0.04

The chance that the younger bridge will not collapse next year is Pr(Y')

Pr(Y')= 1 – 0.04

= 0.96

The chance that the ancient bridge will collapse next year is 21%

Pr(A) = 21%

= 0.21

The chance that the ancient bridge will not collapse next year is Pr(A')

Pr(A')= 1 – 0.21

= 0.79

The probability that exactly one of the bridge s will collapse next year is

1 – (Pr(E') n Pr(Y') n Pr(A'))

= 1 – (0.84*0.96*0.79)

= 1 – 0.637056

= 0.362944

= 0.3629(to 4 decimal place)

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

whatvare the choices

step-by-step explanation: