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think of tossing a penny and rolling a die. 1. How many events are possible? 2. What is \( P(H, 4) \) ? 3. What is \( P(T \), an even number)? 4. What is \( P(T \), a factor of 30\( ) \) ? 5. What is \( P(H \), number \( >3) \) ? 6. What is \( P(T \), an odd number)? 7. What is \( P(T \), not 4\( ) \) ? 8. What is \( P(H \), prime number)? 9. What is \( P(H, 1 \) or 6\( ) \) ? 10. What is \( P(H \), factor of 45\( ) \) ?

Ask by Barker Peterson. in the United States
Mar 15,2025

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1. There are 12 possible outcomes. 2. \( P(H,4) = \frac{1}{12} \). 3. \( P(T, \text{even}) = \frac{1}{4} \). 4. \( P(T, \text{factor of 30}) = \frac{5}{12} \). 5. \( P(H, >3) = \frac{1}{4} \). 6. \( P(T, \text{odd}) = \frac{1}{4} \). 7. \( P(T, \text{not } 4) = \frac{5}{12} \). 8. \( P(H, \text{prime}) = \frac{1}{4} \). 9. \( P(H, 1 \text{ or } 6) = \frac{1}{6} \). 10. \( P(H, \text{factor of } 45) = \frac{1}{4} \).

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Mind Expander

When tossing a penny, there are two possible outcomes: heads (H) and tails (T). Rolling a die provides six outcomes: 1, 2, 3, 4, 5, and 6. Therefore, the total number of events possible with a penny toss and a die roll is \( 2 \times 6 = 12 \) events. Now, let’s look at how to compute probabilities! For example, \( P(H, 4) \) specifically refers to landing heads on the penny and rolling a 4 on the die. This is just one specific combination out of the 12 total events, so \( P(H, 4) = \frac{1}{12} \). Similarly, you can calculate each probability based on the conditions given in the questions by identifying the successful outcomes that meet the criteria and dividing by the total events!

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