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\( ) \) ?
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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!
