Astronomers observe a distant star. They expect the planet to orbit the star approximately 3/4 times every 19 years. About how many Earth years will it take the planet to orbit the star core once?

25.333332 years

Step-by-step explanation:

19/3

=6.333333*4

40.2 % to the nearest tenth.

Step-by-step explanation:

Probability( 6 on one roll = 1/6).

Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6

= 3125/46656

= 0.06698

Only 1 six rolled can happen in  6 different ways ( where the 6 is on the second, third roll etc.)

So the required probability is 0.06698 * 6 = 0.40188.

Step-by-step explanation:

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