Suppose that the probability of surviving for 5-years after being diagnosed with a particular cancer is 0.60; and the probability of surviving for 10 years is 0.20. if a person survives 5 years, what is the probability that she will survive 10 years?

0.33

Step-by-step explanation:

Let P(S10) be the probability that surviving for 10-years after being diagnosed with a particular cancer

And P(S5) be the probability that surviving for 5-years after being diagnosed with a particular cancer

We have

P(S5)=0.6 and P(S10)=0.2

And we have the conditional probability equation:

where

Then

step-by-step explanation:

the shape,the size and the distance

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.