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# ohioathens STATS 1110 - Probability – Worksheet #4

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Probability – Worksheet #4 A. Coin Flip 1) What is the theoretical probability that the coin will land on tails? 2) What is the theoretical probability that the coin will land on heads? 3) If the coin is flipped 140 times, how many times would you predict that the coin lands on heads? 4) Johnny flipped a coin 450 times. His results are below: Heads Tails 240 210 What is the experimental probability that the coin lands on heads? B. Roll of the Die (6-sided) 5) P(4) = 7) P(not a 2) = 6) P(3 or 5) = 8) P(odd) = 9) If the die is rolled 300 times, how many times would you predict a roll of a 1 or a 6? 10) Johnny rolled the die 1,500 times. His results are below: # on die 1 2 3 4 5 6 Times rolled 230 245 300 280 215 230 What is the experimental probability that the die will land on a 4?Probability – Worksheet #4 C. Spinners 11) P(black) = Black Blue 12) P(not orange) = 13) P(blue or black) = Purple Orange 14) If the spinner is spun 40 times, how many times would you predict a spin of something that is not purple? 15) Johnny spins the spinner 60 times. His results are below: a) What is the experimental probability of a spin of orange? b) Which color had an experimental probability that matched its theoretical probability? D. Multiple Choice. 16) Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: What number had an experimental probability that matched its theoretical probability? A 2 B 3 C 4 D 5 Color Black Blue Orange Purple Times Spun 17 15 21 7 Number Times tossed 1 13 2 15 3 14 4 12 5 18 6 18Probability – Worksheet #4 Bradley spun the spinner 40 times and recorded his results in the table. White Blue Red Green A. For a single spin, what is the theoretical probability of spinning green? B. For two consecutive spins, what is the theoretical probability of spinning a red first AND a blue second? C. According to the table, what was the experimental probability of spinning blue? D. According to the table, what color had an experimental probability closest to its theoretical probability? E. If Bradley spins the spinner 200 times, how many times would you predict the spinner lands green? F. EXPLAIN in your own words what the difference is between theoretical probability and experimental probability. Color Frequency Blue 12 Green 6 Red 9 White

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