Question

A game has a deck of cards with 10 red cards, 4 blue cards, and 2 yellow cards. You randomly choose two cards. Find the probability of choosing blue card and yellow card

Answer 1

0.02% would be of choosing a blue and a yellow card because there 16 cards so you are only choosing two cards 

Answer 2

total cards = 16

total number of ways of choosing two cards randomly = 16C2 where nCr = n!/r!

number of ways of choosing blue card = 4C1

number of ways of choosing yellow card = 2C1

Probability = favorable outcomes / total outcomes

probability of choosing blue card and yellow card = 4C1  * 2C1 /16C1

= 1/15 = 0.066