Question

Jack has written the name of each planet of the solar system on a separate piece of paper and has placed all these pieces of paper in a bag. The names he included are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune. If he picks a piece of paper at random from the bag, what is the probability that the name of the planet written on it contains at least 6 letters?

Answer 1

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

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