Abag contains hair ribbons for a spirit rally. the bag contains 3 black ribbons and 12 green ribbons. lila selects a ribbon at random, then jessica selects a ribbon at random from the remaining ribbons. what is the probability that lila selects a black ribbon and jessica selects a green ribbon? express your answer as a fraction in simplest form. a. 4/25 b. 4/35 c. 11/70 d. 6/35

3 black ribbons and 12 green ribbons
so P(Lila selects a black ribbon)=3/(3+12)
=1/5
2 black ribbons and 12 green ribbons left
P(Jessica selects a green ribbon)=12/(12+2)
=6/7

so P(Lila selects a black ribbon and Jessica selects a green ribbon)
=1/5*6/7
=6/35

ans is D

Main idea on left, details on right

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.