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At a conference for 500 people, 20% of the participants are French, 50% are Americans, 5% are Germans, and are of other nationalities. How many French participants are at the conference?

10

20

100

120




Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a rose randomly without looking, what is the probability that he will give a white rose to the first child and then a yellow rose to the second child?

9 over 24 plus 8 over 23 equal to 399 over 552

9 over 24 multiplied by 8 over 23 equal to 72 over 552

9 over 24 multiplied by 8 over 24 equal to 72 over 576

9 over 24 plus 8 over 24 equal to 17 over 24




Sarah used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below:




Number on cube vs Number of times rolled
1 18
2 5
3 10
4 12
5 16
6 5
7 8
8 14
9 2
10 5
11 2
12 3




Using Sarah's simulation, what is the frequency of rolling a 2 on the number cube?

100 over 5

100 over 95

95 over 100

5 over 100





The table below shows the number of marbles of different colors in a bag:

Marble Experiment



Color of
Marbles


Red = 1
White = 5
Black = 10



Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing black marbles in both the trials?

10 over 16 added to 9 over 16

10 over 16 added to 9 over 15

10 over 16 multiplied by 9 over 16

10 over 16 multiplied by 9 over 15

User Mjmdavis
by
7.4k points

2 Answers

4 votes

Question \ 1)


Probability \ is \ simply \ how \ likely \ something \ is \ to \ happen.

We \ get \ the \ probabilities \ by \ dividing \ the \ frequencies \ by \ the \ total.

The \ probability \ of \ an \ event \ can \ only \ be \ between \ 0 \ and \ 1
and \ can \ also \ be \ written \ as \ a \ percentage.


The \ best \ example \ for \ understanding \ probability \ is \ flipping \ a \ coin: There are two possible outcomes ------\ \ heads or tails.


Probability \ is \ always \ out \ of 100 \%


(P)/(100\%)


20\% = (20)/(100) = 0.20 \ as \ a \ decimal


0.2 * 500 = 100


Question \ 2)
x+y+z=24


7+8+9 = 24 =\ \textgreater \ Number \ of \ roses


(9)/(24) * (8)/(23) = (72)/(552)


Question \ 3)


5 = Number \ of \ 2


100 = Total


=\ \textgreater \ (5)/(100)


Question \ 4)
x+y+z=16


1 + 5 + 10 = 16, Total \ Number


(10)/(16)* (9)/(15)
= Solution
User Diado
by
8.5k points
3 votes

Q1.\\p\%=(p)/(100);\ 20\%=(20)/(100)=0.20=0.2\\\\20\%-French\ of\ 500\ people\\\\0.2\cdot500=100\leftarrow Answer



Q2.\\(white)/(all)\cdot(yellow)/(all-1)\\\\7+8+9=24-number\ of\ all\ roses\\\\(9)/(24)\cdot(8)/(24-1)=(9)/(24)\cdot(8)/(23)=(72)/(552)\leftarrow Answer



Q3.\\5-number\ of\ 2\\100-number\ of\ all\\\\(5)/(100)\leftarrow Answer



Q4.\\1+5+10=16-number\ of\ all\ marbles\\\\(10)/(16)\cdot(10-1)/(16-1)=(10)/(16)\cdot(9)/(15)\leftarrow Answer
User Pnsadeghy
by
8.8k points