Carson has a bag of 15 marbles. The bag has 8 red marbles, 4 blue marbles, and 3 green marbles. Carson randomly picks &
marble, replaces it in the bag, and randomly picks another
marble. Find the probability of each event.
(12) picking two blue marbles
(13) picking a red marble and then picking a blue marble
(14) picking a green marble and then a blue marble
(15) picking two red marbles

(12) picking up 2 blue

Step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

step-by-step explanation: