The game of euchre uses the 10s, jacks,queen,kings and aces from a standard deck of 52 cards. How many 5-card euchre hands have at least 2 red cards? Explain your reasoning.

Question

The game of euchre uses the 10s, jacks,queen,kings and aces from a standard deck of 52 cards. How many 5-card euchre hands have at least 2 red cards? Explain your reasoning.

What is this question asking me to find, this is what I don't understand

Answer 1

at least 2 reds

---> 2 reds, or 3 reds, or 4 reds, or 5 reds
or
exclude 0 red and 1 red

There are 20 cards of which 10 are red
prob(red) = 10/20 = 1/2

number(no red) = C(10,0) C(10,5) = 252
number (1 red) = C(10,1) C(10,4) = 2100
number of 5-card hands without restriction = C(20,5) = 15504

number with at least 2 reds
= 15504-(252+2100)
= 13152

Answer 2

This question is asking you to determine the number of 5-card euchre hands that contain at least 2 red cards. In other words, you need to find the total number of possible combinations of 5 cards from a euchre deck in which at least 2 of the cards are red.