4
82 Beast Academy Practice 4D PROBABILITY Coin Flips 82 $GCUV #ECFGO[ 2TCEVKEG & # ƀKRRGF EQKP KU GSWCNN[ NKMGN[ VQ NCPF JGCFU QT VCKNU 6JGTG CTG GSWCNN[ NKMGN[ QWVEQOGU CPF QWVEQOG KU VCKNU 5Q VJG RTQDCDKNKV[ QH ƀKRRKPI VCKNU QP C HCKT EQKP KU 1 2 . Similarly, the RTQDCDKNKV[ QH ƀKRRKPI JGCFU QP C HCKT EQKP KU 1 2 . 9JCV JCRRGPU YJGP [QW ƀKR VYQ QT OQTG EQKPU! .GVŏU GZRGTKOGPV Experiment 1: Two coins. Flip both coins at the same time. Place a tally mark in the CRRTQRTKCVG EQNWOP KP C EJCTV NKMG VJG QPG DGNQY HQT GCEJ ƀKR &Q VJKU VKOGU Two Heads Two Tails One Each Consider: Did all three outcomes occur about the same number of times? If not, which outcome was most likely? Which outcome was least likely? Do you think VJCV [QWT TGUWNVU YQWNF DG UKOKNCT KH [QW ƀKRRGF DQVJ EQKPU OQTG VKOGU! Experiment 2: Three coins. Flip three coins at the same time. Place a tally mark in the CRRTQRTKCVG EQNWOP KP VJG EJCTV DGNQY HQT GCEJ ƀKR &Q VJKU VKOGU Consider: Did all four outcomes occur about the same number of times? If not, which outcome was most likely? Which outcome was least likely? Do you think VJCV [QWT TGUWNVU YQWNF DG UKOKNCT KH [QW ƀKRRGF CNN VJTGG EQKPU OQTG VKOGU! Two Heads & One Tails Two Tails & One Heads Three Tails Three Heads Excerpt from Beast Academy Practice 4D. (C) 2015 www.BeastAcademy.com

4D Practice Interior 2015 Mar13 - Beast Academy · 2017-05-04 · beast academy practice 4d 85 probability coin flips)wkfg 2cigu 54. (qwt eqkpu ctg krrgf 9jcv ku vjg rtqdcdknkv[ vjcv

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Page 1: 4D Practice Interior 2015 Mar13 - Beast Academy · 2017-05-04 · beast academy practice 4d 85 probability coin flips)wkfg 2cigu 54. (qwt eqkpu ctg krrgf 9jcv ku vjg rtqdcdknkv[ vjcv

82 Beast Academy Practice 4D

PROBABILITY

Coin F

lips

82

12

. Similarly, the 12

.

Experiment 1: Two coins. Flip both coins at the same time. Place a tally mark in the

Two Heads

Two Tails

One Each

Consider: Did all three outcomes occur about the same number of times? If not, which outcome was most likely? Which outcome was least likely? Do you think

Experiment 2: Three coins. Flip three coins at the same time. Place a tally mark in the

Consider: Did all four outcomes occur about the same number of times? If not, which outcome was most likely? Which outcome was least likely? Do you think

Two Heads

&One Tails

Two Tails

&One

HeadsThree Tails

Three Heads

Excerpt from Beast Academy Practice 4D. (C) 2015 www.BeastAcademy.com

Page 2: 4D Practice Interior 2015 Mar13 - Beast Academy · 2017-05-04 · beast academy practice 4d 85 probability coin flips)wkfg 2cigu 54. (qwt eqkpu ctg krrgf 9jcv ku vjg rtqdcdknkv[ vjcv

83Beast Academy Practice 4D

PROBABIL I TYCoin Flips

43.penny and Grog’s nickel?

44. What is the probability that Winnie’s penny will land heads and Grogg’s nickel will land tails?

45.

46. What is the probability that Grogg’s coin will land with the same face up as Winnie’s coin?

43. ________

44. ________

45. ________

46. ________

47. ________

Use the diagram below to help you answer the questions that follow.PRACTICE

The tree diagram on the right displays all of the possible outcomes for Winnie’s penny and

48those times do you expect both coins to land heads? Circle one answer.

47.land tails?

Answer each question below.PRACTICE

T

T

H

H

H

T

Penny Nickel

Excerpt from Beast Academy Practice 4D. (C) 2015 www.BeastAcademy.com

Page 3: 4D Practice Interior 2015 Mar13 - Beast Academy · 2017-05-04 · beast academy practice 4d 85 probability coin flips)wkfg 2cigu 54. (qwt eqkpu ctg krrgf 9jcv ku vjg rtqdcdknkv[ vjcv

84 Beast Academy Practice 4D

PROBABIL I TYCoin Flips

Answer the questions below. Express your answers as fractions in simplest form.PRACTICE

49. Create a tree diagram to display all of the possible outcomes for Winnie’s penny, Grogg’s nickel, and Alex’s dime.

50. How many possible outcomes are in your tree diagram above?

51. What is the probability that all three coins will land heads?

52.

53.

50. ________

51. ________

52. ________

53. ________

Excerpt from Beast Academy Practice 4D. (C) 2015 www.BeastAcademy.com

Page 4: 4D Practice Interior 2015 Mar13 - Beast Academy · 2017-05-04 · beast academy practice 4d 85 probability coin flips)wkfg 2cigu 54. (qwt eqkpu ctg krrgf 9jcv ku vjg rtqdcdknkv[ vjcv

85Beast Academy Practice 4D

PROBABIL I TYCoin Flips

54.land heads?

55.will land heads?

56.

57.

54. ________

55. ________

56. ________

57. ________

Answer the questions below. Express your answers as fractions in simplest form.PRACTICE

58 times do you expect exactly two coins to land heads?

Excerpt from Beast Academy Practice 4D. (C) 2015 www.BeastAcademy.com