Download PC Stats Day 02 Assign pc_stats_day_02_assign

Precalc – Day 02 – Statistics
1. Determine each probability.
a. P(flip 1 coin, heads)
b. P(flip 2 coins, both heads)
c. P(roll a number cube and get an odd number)
d. P(roll a number cube and get an even number)
e. P(roll a number cube and get a negative number)
f. P(roll two number cubes and get a sum of 2)
g. P(roll two number cubes and get a sum greater than 2)
3. If you flip a coin 6 times, how many different ways are there for
the result to be 2 heads and 4 tails? Write them out.
5. Use the expansion of (t + h)6 to find the total number of ways you
could flip 3 heads and 3 tails in a sequence of six coin tosses.
8. You flip a coin 8 times.
a. Explain why there are 256 outcomes in the sample space.
b. What is the most likely number of heads? How likely is it to
occur?
9. Find the probability that if you flip nine coins, you will get exactly 6
heads and three tails.
10. In a carnival game, you roll a standard number cube and flip a
coin. The coin has a 0 on one side, and a 5 on the other. Your score is
the sum of the values that appear on the number cube and the coin.
a. You win the game if you score 10 points or more. Find the
probability that you win the game.
b. The man running the carnival says that every score from 1 to 11
is equally likely. Is he right? Explain.
11. Consider the set S of ordered pairs (x, y) such that x and y are
both integers between 1 and 8, inclusive, and x≥y.
a. How many such ordered pairs are there?
b. If you are to pick an ordered pair (x, y) at random, what is the
probability that x and y do not have any common factors greater than
1?
c. In the coordinate plane, plot all the ordered pairs (x, y) in S that
do not have any common factor greater than 1.
14. In the sample space for rolling two number cubes, how many
outcomes will have neither a one nor a two on either cube?
a. 16
b. 18
c. 20
d. 24