Compound probabilities
what is the probability that a red die shows a number larger than three or a green die shows a number less than three if the red die is tossed then the green die is tossed

2/3

Step-by-step explanation:

To start, let's find the number of ways we can roll so that the red die shows a number larger than three. Simple counting shows there are 3 ways, and since we can pick anything for the green die, we have 18 ways. Now, if the green die shows a number less than three, we count again to get 2 * 6 or 12 ways. However, we need to subtract our overcounts, or when the red die shows a number larger than three and the green die shows a number less than three. The number of ways for this is 3 * 2 (We have already counted them, and we just need to multiply), or 6. So, we have 18 + 12 - 6 or 24 ways, and since there are 6 * 6 = 36 ways to roll them, the answer is 24 / 36 or 2 / 3.

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step-by-step explanation: