Magic the Gathering is a popular card game. Cards can be land cards, or other cards. We will…

Magic
the Gathering is a popular card game. Cards can be land cards, or other cards.
We will consider a deck of 40 cards, containing 10 land cards and 30 other
cards. A player shuffles that deck, and draws seven cards but does not look at
them. The player then chooses three of these cards at random; each of these
three is a land.

 (a)
What is the conditional probability that the original hand of seven cards is
all lands?

(b)
What is the conditional probability that the original hand of seven cards
contains only three lands?

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