Personal Math Trainer

Mattias gets dressed in the dark one morning and chooses his clothes at random. He chooses a shirt (green, red, or yellow), a pair of pants (black or blue), and a pair of shoes (checkered or red).

Shirt Pants Shoes
Checkered
Blue arrowne
arrowse
arrowne Red
Green
arrowse Checkered
Black arrowne
arrowse
Red
Checkered
Blue arrowne
arrowse
arrowne Red
Red
arrowse Checkered
Black arrowne
arrowse
Red
Checkered
Blue arrowne
arrowse
arrowne Red
Yellow
arrowse Checkered
Black arrowne
arrowse
Red

What is the probability that Mattias picks an outfit at random that includes checkered shoes? Enter your answer as a fraction in simplest form.

The probability that the outfit includes red shoes

1/3

Step-by-step explanation:

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.