PROBABILITY Coin Flip s #ƀKRRGFEQKPKUGSWCNN[NKMGN[VQNCPFJGCFUQTVCKNU6JGTGCTGGSWCNN[NKMGN[QWVEQOGU CPFQWVEQOGKUVCKNU5QVJGRTQDCDKNKV[QHƀKRRKPIVCKNUQPCHCKTEQKPKU 1 . Similarly, the 2 RTQDCDKNKV[QHƀKRRKPIJGCFUQPCHCKTEQKPKU 1 . 2 9JCVJCRRGPUYJGP[QWƀKRVYQQTOQTGEQKPU!.GVŏUGZRGTKOGPV Experiment 1: Two coins. Flip both coins at the same time. Place a tally mark in the CRRTQRTKCVGEQNWOPKPCEJCTVNKMGVJGQPGDGNQYHQTGCEJƀKR&QVJKUVKOGU 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[QWTTGUWNVUYQWNFDGUKOKNCTKH[QWƀKRRGFDQVJEQKPUOQTGVKOGU! Experiment 2: Three coins. Flip three coins at the same time. Place a tally mark in the CRRTQRTKCVGEQNWOPKPVJGEJCTVDGNQYHQTGCEJƀKR&QVJKUVKOGU Three Heads Two Heads & One Tails Two Tails & One Heads Three Tails 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[QWTTGUWNVUYQWNFDGUKOKNCTKH[QWƀKRRGFCNNVJTGGEQKPUOQTGVKOGU! 82 Beast Academy Practice 4D $GCUV#ECFGO[2TCEVKEG& PROBA BnILFliITY Coi ps PRACTICE Use the diagram below to help you answer the questions that follow. 9KPPKGƀKRUCRGPP[CPF)TQIIƀKRUCPKEMGN The tree diagram on the right displays all of the possible outcomes for Winnie’s penny and )TQIIŏUPKEMGN **GCFU66CKNU Penny Nickel H H T H T T 43. *QYOCP[RQUUKDNGQWVEQOGUCTGRQUUKDNGHQTVJGƀKRQH9KPPKGŏU 43. ________ penny and Grog’s nickel? 44. 44. ________ What is the probability that Winnie’s penny will land heads and Grogg’s nickel will land tails? 45. 9JCVKUVJGRTQDCDKNKV[VJCVDQVJ)TQIICPF9KPPKGYKNNƀKRJGCFU! 45. ________ 46. 46. ________ What is the probability that Grogg’s coin will land with the same face up as Winnie’s coin? PRACTICE Answer each question below. 47. )TQIIƀKRUVYQKFGPVKECNEQKPU9JCVKUVJGRTQDCDKNKV[DQVJEQKPUYKNN 47. ________ land tails? 48 )TQIIƀKRUJKURCKTQHKFGPVKECNEQKPUCVQVCNQHVKOGU#DQWVJQYOCP[QH those times do you expect both coins to land heads? Circle one answer. Beast Academy Practice 4D )WKFG2CIGU 83 PROB AsB IL I TY C o i n F lip PRACTICE Answer the questions below. Express your answers as fractions in simplest form. 49. 9KPPKGƀKRUCRGPP[)TQIIƀKRUCPKEMGNCPF#NGZƀKRUCFKOG 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? 50. ________ 51. What is the probability that all three coins will land heads? 51. ________ 52. 9JCVKUVJGRTQDCDKNKV[VJCV9KPPKGCPF#NGZYKNNƀKRJGCFUCPF 52. ________ )TQIIYKNNƀKRVCKNU! 53. 9JCVKUVJGRTQDCDKNKV[VJCVGZCEVN[QPGNKVVNGOQPUVGTYKNNƀKRJGCFU! 84 )WKFG2CIGU 53. ________ Beast Academy Practice 4D PROBA BnILFliITY Coi ps PRACTICE Answer the questions below. Express your answers as fractions in simplest form. 54. (QWTEQKPUCTGƀKRRGF9JCVKUVJGRTQDCDKNKV[VJCVCNNHQWTEQKPUYKNN 54. ________ land heads? 55. ________ 55. (QWTEQKPUCTGƀKRRGF9JCVKUVJGRTQDCDKNKV[VJCVGZCEVN[QPGEQKP will land heads? 56. .K\\KGƀKRUVJGUCOGEQKPHQWTVKOGUKPCTQY9JCVKUVJGRTQDCDKNKV[ 56. ________ VJCVVJGVJKTFCPFHQWTVJƀKRUYKNNDQVJNCPFJGCFU! 57. )TQIICPF.K\\KGGCEJƀKRVYQEQKPU9JCVKUVJGRTQDCDKNKV[VJCVVJG[ 57. ________ GCEJƀKRVJGUCOGPWODGTQHJGCFU! 58 'XGƀKRUVJTGGKFGPVKECNEQKPUVKOGU#DQWVJQYOCP[QHVJQUG times do you expect exactly two coins to land heads? Beast Academy Practice 4D )WKFG2CIGU 85
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