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The probability that it would contain at least 6 letters is: 5/8

Step-by-step explanation:

From the question given above,

We know that there are 8 planet that was given.

Mercury        7 letters

Venus           5 letters

Earth             5 letters

Mars              4 letters

Jupiter            7 letters

Saturn             6 letters

Uranus             6 letters

Neptune.          7 letters

Therefore,

P(at least 6 letters) + P( Less than 6 letters) = 1

P (at least 6 letters) + P (3 planet) = 1

P (at least 6 letters) +  ( 3/8) = 1

P(at least 6 letters) = 1 - (3/8)

= 5/8