# math Study guide 3

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1. The table shows the results of spinning a four-colored spinner 50 times. Find the experimental probability and express it as a decimal.
P(not red) = ?
red | blue | green | yellow
-----------------------------------------
20 | 10 | 9 | 11
(1 point)
a 0.6
b 0.4
c 0.2 <------------------------
d 0.3

2. You roll a number cube 20 times. The number 4 is rolled 8 times. What is the experimental probability of rolling a 4? (1 point)

a 40%
b 25%
c 20%
d 17% <-------------------------

3. The table below shows the results of flipping two coins. How does the experimental probability of getting at least one tails compare to the
theoretical probability of getting at least one?
outcome|HH | TH | HT | TT
--------------------------
landed |28 |22 |34 | 16

A The experimental probability is 3% greater than the theoretical probability.

B The theoretical probability is 3% greater than the experimental probability. <---------------

C The experimental probability is equal to the theoretical probability.

D The experimental probability is about 1% less than the theoretical probability.

4. The probability of winning a game is 15%. If you play 20 times, how many times should you expect to win? (1 point)
a 5 times <------------------------
b 3 times
c 6 times
d 15 times

5. The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect to have?

a 5 tickets <----------------------
b 3 tickets
c 8 tickets
d 10 tickets

6. A company finds 5 defective toys in a sample of 600. Predict how many defective toys are in a shipment of 24,000.

a 40 toys <-------------------------
b 166 toys
c 200 toys
d 20 toys

7. Which of the following is an example of independent events?

A rolling two number cubes <-------------------

B selecting marbles from a bag without
replacement after each draw

C choosing and eating a piece of candy from a dish and then choosing another piece of candy

D Pulling a card from a deck when other players have already pulled several cards from that deck

8. A bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. Pieces of fruit are drawn twice with replacement. What is P(apple, then
apricot)? (1 point)

a 4/5
b 2/25
c 3/25
d 3/5 <---------------------

9. A coin is flipped three times. How the does P(H, H, H) compare to P(H, T, H)? (1 point)

A. P(H, H, H) is greater than P(H, T, H)
B.P(H, T, H) is greater than P(H, H, H). <-----------------
c.The probabilities are the same.
d.There is no way to tell with the information given.

10. A coin is tossed and a number cube is rolled. What is P(heads, a number less than 5)? (1 point)

A 1/3
B 5/12
C 2/3
D 5/6 <----------------------

am i correct.
Just to let you know, i am really bad at math:(

• math Study guide 3 -

1)20% chance of spinning each one
2)= 40 40% *20=8
3)since there are 4 outcomes, theoretical = 25% my changed answer is 25%.28+22+34+16= 100 100 / 4 = 25%
4)my changed answer 3 15% of 20=3
5)20=2 50=5 2*5=10 A
6)24000 / 600 = 40
7)self explanatory
8)apple+apricot =6 10 all together 6/10=3/5
9)since a coin flip is random,it is a higher probability of the outcome to be H T H or B
10)since it says less than 5 and there is 6 sides on a dice all together, it is 5/6.

• math Study guide 3 -

1)
There are 4 colours, multiplied by 20% gives only 80%, where do the remaining 20% go?
Experimental probability goes with the outcome of experiments. Think along those lines.

2)
40% is correct, as you said 40%*20=8, or working directly, 8÷20=40%.

3)
Theoretical is 25% (100/4).
Experimental is what? Then choose a correct answer.

4)
15% of 20 = 3 times
is correct.

5)
Correct, calculate by proportion,
or 50 tickets * 20% = 10 .

6)
Remember they found 5 defective toys out of 600.

7)
Independent means one outcome does not affect the other.
If you think it is self-explanatory, it seems that you understand the idea.

8)
What you 3/5 is the correct answer for a different problem, namely picking either an apple or an apricot.

The question requires picking an apple first, then an apricot on the second draw.

The two draws are independent steps.

The probability of succeeding both steps is the product of succeeding each step.
There is a total of 10 fruit pieces.
P(Apple)=4/10
P(Apricot)=2/10
So P(Apple then Apricot)
= P(Apple)*P(Apricot)
=?

9)
There are 2 outcomes for each flip, and there are 2³=8 outcomes if it's flipped three times.
Enumerate the 8 outcomes and count how many of them are HTH, and how many of them are HHH.
(Ignore my previous answer to this problem, I misinterpreted the problem)

10)
Again, this is a two step experiment, tossing a coin and throwing a die.
Find and post the probability of success for each step. Now since the two steps are independent, the probabilities of the two steps may be multiplied together to get the final probability.

• math Study guide 3 -

wait so what are the answers to all of them DragonBornFU5R0D48

• math Study guide 3 -

cant you just put the answers

• math Study guide 3 -

1. a
2. a
3. b
4. b
5. c
6. c
7. a
8. b
9. c
10. a

• math Study guide 3 -

lun is correct just took the quiz and got 100

• math Study guide 3 -

thank you so muchhhhhhhhhh

• math Study guide 3 -

Thank you so much I got 100%

• math Study guide 3 -

THNX lun!!! everyone lun is correct srsly did the test and got 100 percent!!! thank you soooooo much!

• math Study guide 3 -

Thanks lun!!!