Probability Worksheet #4

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1 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 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 Times rolled What is the experimental probability that the die will land on a 4?

2 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: Color Black Blue Orange Purple Times Spun 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: Number Times tossed What number had an experimental probability that matched its theoretical probability? A 2 B 3 C 4 D 5

3 Probability Worksheet #4 Bradley spun the spinner 40 times and recorded his results in the table. White Red Blue Green Color Frequency Blue 12 Green 6 Red 9 White 13 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.

4 Topic: Theoretical Probability- Worksheet 1 A sum of 6 appears on the pair of dice. 2. One appears on both the dice. 3. Same number appears on the two dice. 4. A diamond 5. a king 6. Black card A class contains 15 boys and 18 girls. The teacher asks two students to leave the class. What is the probability that the first student called on to leave is a: 7. Girl 8. Boy A letter is chosen at random from a given word. Find the probability that the letter is a consonant if the word is: 9. SCHOOL 10. ANNIVERSARY

5 Topic: Theoretical Probability- Worksheet 2 A sum of 5 appears on the pair of dice. 2. Two appears on both the dice. 3. Same number appears on the two dice. 4. A jack 5. red card 6. A ace A school contains 20 male teachers and 18 female teachers. The principle asks two teachers to leave the school. What is the probability that the first teacher called on to leave is a: 7. Male teacher 8. Female teacher A letter is chosen at random from a given word. Find the probability that the letter is a consonant if the word is: 9. WEIGHT 10. MARRIAGE

6 Topic: Theoretical Probability- Worksheet 3 A sum of 4 appears on the pair of dice. 2. Six appears on both the dice. 3. Different number appears on the two dice number 5. Black ace 6. Red ace An office contains 6 managers and 15 employees. The boss asks two employees to leave the office. What is the probability that the first teacher called on to leave is a: 7. Manager 8. Employee A letter is chosen at random from a given word. Find the probability that the letter is a consonant if the word is: 9. Good 10. Bad

7 Topic: Theoretical Probability- Worksheet 4 A sum of 3 appears on the pair of dice. 2. Four appears on both the dice. 3. Different number appears on the two dice. 4. Diamonds card 5. 2 number 6. 9 number of spades A college contains 352 boys and 400 girls. The lecturer asks two students to leave the college. What is the probability that the first students called on to leave is a: 7. boy 8. girl A letter is chosen at random from a given word. Find the probability that the letter is a consonant if the word is: 9. Teacher 10. Students

8 Topic: Theoretical Probability- Worksheet 5 A sum of 5 appears on the pair of dice. 2. Five appears on both the dice. 3. Same number appears on the two dice. 4. Five number 5. A King 6. A ace A class contains 15 boys and 24 girls. The teacher asks two students to leave the class. What is the probability that the first students called on to leave is a: 7. boy 8. girl A letter is chosen at random from a given word. Find the probability that the letter is a consonant if the word is: 9. Bus 10. car

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