If the probability of a hurricane hitting the gulf coast in any given year is 1/5, what is the probability of the gulf coast getting hit by a hurricane in 3 consecutive years?
a
1/125
b
3/5
c
3/125
d
1/25

A.

Step-by-step explanation:

Given:

Probability of a hurricane hitting the gulf coast in a year is

Let E be the event for the hurricane hitting the gulf coast in a year.

So,

Therefore, probability of hitting the gulf coast for 3 consecutive years will be the product of the probabilities for each  year and is given as:

The probability of the gulf coast getting hit by a hurricane in 3 consecutive years is .

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )