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Step-by-step explanation:

After a red 3, the highest possible sum is 3 + 6 = 9.

So P(sum ≥ 10) = 0 after a red 3 has occurred.

There are 5 ways the sum can be greater than or equal to 10 (4 and 6, 6 and 4, 5 and 5, 5 and 6, 6 and 5).  There are a total of 36 possible permutations.  Therefore:

P(sum ≥ 10) = 5/36

The conditional probability is:

P(sum ≥ 10 | red 3) = P(sum ≥ 10 AND red 3) / P(red 3)

P(sum ≥ 10 | red 3) = 0 / (1/6)

P(sum ≥ 10 | red 3) = 0

step-by-step explanation:

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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