Question

Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.

Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)

Part B: What is the theoretical probability of the coin landing heads up? Show your work. (5 points)

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Answer 1

@Michele_Laino help im dying of help????

Answer 2

@Michele_Laino help????????????????????

Answer 3

@Michele_Laino are you goign to help me ??

Answer 4

@Michele_Laino

Answer 5

part A:
the requested probability, is given by definition, by the subsequent formula:
p=favorable cases/possible cases=16/40=...?

Answer 6

so i divide @Michele_Laino

Answer 7

yes!

Answer 8

what about part b

Answer 9

@Michele_Laino

Answer 10

part B:
we have favorable cases = 1, since we have only one head face of our coin
and
possible cases = 2, since our coin has 2 faces,
so
probability=favorable cases/possible cases= 1/2=...?

Answer 11

50 percent @Michele_Laino

Answer 12

2 more questions @Michele_Laino

Answer 13

that's right!

Answer 14

ok!

Answer 15

Maria spins a penny 100 times and it lands head side up 62 times. Explain why Maria's experimental probability may be different from the theoretical probability of spinning a coin.

Answer 16

@Michele_Laino

Answer 17

the experimental probability, is:
p= favorable cases/possible cases=62/100=...?

Answer 18

Explain why Maria's experimental probability may be different from the theoretical probability of spinning a coin. @Michele_Laino

Answer 19

yes! I understand, nevertheless in order to answer to your question, it is necessary to compute the experimental probability. So what is:
p=favorable cases/possible cases=62/100=...?

Answer 20

62%

Answer 21

@Michele_Laino

Answer 22

ok!

Answer 23

now the theoretical probability is as in the previous exercise, namely:
p=favorable cases/possible cases=1/2=...?

Answer 24

50 % @Michele_Laino

Answer 25

@Michele_Laino

Answer 26

that's right!

Answer 27

that's the reason, since 62% is different from 50%

Answer 28

is it ok?

Answer 29

Huh @Michele_Laino

Answer 30

since we have computed the experimental probability and it is 62%
after that we have computed the theoretical probability, and it is 50%
Now we can see that those probabilities are different each other

Answer 31

but that dosent explain @Michele_Laino

Answer 32

why?

Answer 33

ok next question ?

Answer 34

Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:

Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 1 5 44


Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.

Answer 35

a possible reason for which those probability are different can be this:
our coin is not a "honest" coin, namely our coin is a rigged coin

Answer 36

@Michele_Laino Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:

Position Open Side Up Closed Side Up Landing on Side
Number of Times Landed in Position 1 5 44


Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.

Answer 37

oops.. those probabilities*

Answer 38

I'm trying to solve your exercise, please wait

Answer 39

here we have
possible cases = 1+ 5+44=50

Answer 40

probability for "open side up" event:
favorable cases/possible cases = 1/50=...?

Answer 41

2%

Answer 42

@Michele_Laino

Answer 43

ok!

Answer 44

probability for "closed side up":
p= favorable cases/possible cases= 5/50=...?

Answer 45

10%

Answer 46

@Michele_Laino

Answer 47

ok!

Answer 48

finally, probability for "landing on side" event:
p=favorable cases/possible cases=44/50=...?

Answer 49

88% @Michele_Laino

Answer 50

that's right!

Answer 51

one last question

Answer 52

Brenda throws a dart at this square-shaped target:

A square is shown with sides labeled 11. A shaded circle is shown in the center of the square. The diameter of the circle is 2.

Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer. (5 points)

Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer. (5 points)

Answer 53

i just need help with part b

Answer 54

what is the side of the square?

Answer 55

is it 11?

Answer 56

yes @Michele_Laino

Answer 57

the area of white portion is:
11*11-3.14*1*1=117.86
so the requested probability, is:
p=117.86/121=...?

Answer 58

0/974

Answer 59

0.974 @Michele_Laino

Answer 60

and such probability is closer to 1

Answer 61

how

Answer 62

@michele_laino

Answer 63

since 0.974 is close to 1