Skip to content

Four cards drawn coming out in increasing order

Question

A deck holds 100100 cards labelled 11 to 100100. You draw four cards one at a time at random without replacement. What is the probability that the four numbers appear in increasing order?

Short answer

1/241/24. Whatever four distinct numbers are drawn, all 4!4! orders of them are equally likely, and exactly one is increasing.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

See the hint and the full worked solution in the question bank (free account).

Open the worked solution

Lessons behind this question

Start with a free lesson: Probability Fundamentals is part of a free topic. Create a free account, no card needed, to read it in full with worked solutions.

Read it free