Answer:
The probability of a coin landing on heads and spinning an odd number is found by multiplying the individual probabilities of each event. As both have a probability of 0.5 each, the combined probability is 0.5 * 0.5 = 0.25 or 25%.
Step-by-step explanation:
To determine the probability of flipping a coin and it landing on heads and spinning an odd number, we need to consider each event separately and then combine them by multiplication, as they are independent events.
The chance of a coin landing on heads is always 50 percent, as there are two possible outcomes: heads or tails. Each outcome is equally likely if the coin is fair.
Therefore, the probability of landing on heads is ½ or 0.5.
For a standard spinner that's divided into numbered segments from 1 up to an even number, let's assume that there is an equal distribution of odd and even numbers.
If that's the case, the probability of spinning an odd number would also be 0.5 (the same as spinning an even number).
To find the combined probability of both events happening, we multiply their individual probabilities:
- Probability(Heads and Odd Number) = Probability(Heads) × Probability(Odd Number)
- = 0.5 × 0.5
- = 0.25 or 25%
Therefore, there is a 25% chance that the coin will land on heads and an odd number will be spun.