Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. if she picks three marbles at random, without replacement, what is the probability that she will select a blue marble first, then a clear marble, then another blue marble?

The probability is 0.0514.

Step-by-step explanation:

Maria has 8 black marbles, 14 clear marbles, and 12 blue marbles in a bag.

Total marbles are =

The requires probability is :

=

= 0.0514

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.