MATH SOLVE

3 months ago

Q:
# Probability with and without replacement: An activity book has 21 pages of crossword puzzles, 18 pages of cryptograms, and 12 pages of mazes. Bianca randomly selects a page, completes the activity, and then randomly selects another page to complete. What is the probability that Bianca first completes a maze and then completes a crossword puzzle.Ans: 42/42528/28921/8833/51

Accepted Solution

A:

Answer:28/289Step-by-step explanation:First we need to find the total number of pages.
21 = crosswords puzzles
18 = cryptograms
12 = mazes
So there are:
21 + 18 + 12 = 51 pages total
The probability that Bianca will complete a maze first is 12/51.
The probability that her next choice will be a crossword puzzle is 21/51
Now to find the probability that Bianca will do a maze followed by a crossword puzzle is:
12/51 x 21/51
We can simplify the values by dividing everything by 3
Maze then crossword puzzle = 4/17 x 7/17
Maze then crossword puzzle = 28/289