exam 1 Chapter 1 of probability and statistics questions and solutions.

exam 1 of probability and
statistics

Chapter 1 of probability
and statistics questions
and solutions.

, Exam 1 Practice Questions and answers’
Note: This is a set of practice problems for exam 1. The actual exam will be much shorter.

1. There are 3 arrangements of the word PAP, namely DAD, APP, and PPA. How many
arrangements are there of the word PROBABILITY?




Sort the letters: A BB II L O P R T Y. There are 11 letters in
all. We build arrangements by starting with 11 ‘slots’ and
placing the letters in these slots

Create an arrangement in stages and count the number of
possibilities at each stage:
Stage 1: Choose one of the 11 slots to put the A:


Stage 2: Choose two of the remaining 10 slots to put the B’s:



Stage 3: Choose two of the remaining 8 slots to put the B’s:

Stage 4: Choose one of the remaining 6 slots to put the L:

Stage 5: Choose one of the remaining 5 slots to put the O:

Stage 6: Choose one of the remaining 4 slots to put the P:

Stage 7: Choose one of the remaining 3 slots to put the R:

Stage 8: Choose one of the remaining 2 slots to put the T:

Stage 9: Use the last slot for the Y:
Number of arrangements: