Pick cards from a deck until you get a black card or 4 consecutive red cards;record the cards in order.
A){BBBB,RBBB,RRBB,RRRB,RRRR},not equally likely
B){B,RB,RRB,RRRB,RRRRB,RRRRRB,....},not equally likely
C){B,RB,RRB,RRRB,RRRRB},not equally likely
D){B,RB,RRB,RRRB,RRRR},not equally likely
E){BBBB,BBBR,BBRB,BBRR,BRBB,BRBR,BRRB,BRRR,RBBB,RBBR,RBRB,RBRR,RRBB,RRBR,RRRB,RRRR},equally likely

Question

Quizplus · Accepted Answer

In this scenario, we need to pick cards from a deck until we get a black card or four consecutive red cards. Choice D is the best option as it has the smallest set of possible outcomes, and since getting four consecutive red cards is highly unlikely, it is best to minimize the number of possible outcomes. Also, the outcomes in choice D have an equal likelihood, making it a better choice than A and C. Choice B has an infinite number of possible outcomes, making it the worst choice. Lastly, choice E has a larger set of possible outcomes compared to choice D, making it a less optimal choice.

Pick Cards from a Deck Until You Get a Black