Question

Magic the Gathering is a popular card game. Cards can be land cards, or other cards. We consider a game with two players. Each player has a deck of 40 cards. Each player shuffles their deck, then deals seven cards, called their hand. (a) Assume that player one has 10 land cards in their deck and player two has 20. With what probability will each player have four lands in their hand? (b) Assume that player one has 10 land cards in their deck and player two has 20.With what probability will player one have

Answer 1

hello the (b) part of your question is incomplete below is the complete part

(b) Assume that player one has 10 land cards in their deck and player two has 20.With what probability will player one have two lands and player two have three lands in hand

answer: A) 0.0135

B) 0.102

Explanation:

A ) probability of each player having four lands in their hand

Given data:

player 1 having 10 land cards

player two(2) having 20 land cards

The probability can be calculated as attached below

= 0.0135

B) probability of player one having two lands and player two have three lands in hand

Given data:

player one (1) having 10 land cards

player two having 20

The probability of player one having two lands and player two have three lands in hand can be calculated as attached below

= 0.102