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What is the combined probability of getting a heads when flipping a coin and an even number when spinning a spinner with 5 numbered 1 to 5? 1) 1/5 2) 1/2 3) 2/5 4) 3/10

User Corstiaan
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1 Answer

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Firstly, let's consider each event separately.

When we flip a fair coin, there are two possible outcomes— heads (H) or tails (T). We're interested in getting heads, so one out of two outcomes, which gives a probability of 1/2 or 0.5. So, the probability of getting a heads when flipping a coin is 0.5.

For spinning a spinner with five numbers (1 to 5), we are interested in getting an even number. The even numbers in this set are 2 and 4. So, out of 5 possibilities, there are 2 we are interested in which gives a probability of 2/5 or 0.4. Thus, the probability of getting an even number when spinning this spinner is 0.4.

Now, we want to find the combined probability of these two independent events occurring. For independent events, we calculate combined probability by multiplying the individual probabilities of each event.

Combining these two probabilities (0.5 and 0.4), we multiply them together to give 0.2.

So, the combined probability of getting a heads when flipping a coin and an even number when spinning a spinner with 5 numbers is 0.2.

User TabeaKischka
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