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Kristin Fracchia

ACT Challenge Question 5: What Are the Odds?

Magoosh ACT Challenge Question

This week’s ACT Math Challenge Question has to do with patterns, irrational numbers, and a bit of probability. What are “odds” you can solve it? 🙂

Post your answer and how you got it in the comments, and I will reveal the correct answer and explanation on Friday! Your solution might even get featured, math whiz, so get to it!

A box contains 50 cards.sqrt{1} is written on the first card, sqrt{2} on the second, sqrt{3} on the third and so on through sqrt{50}, with no numbers repeated. A card is drawn at random from the box. What is the probability that the number on the card is an irrational number?

A. 0/50
B. 7/50
C. 25/50
D. 35/50
E. 43/50

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About Kristin Fracchia

Kristin makes sure Magoosh's sites are full of awesome, free resources that can be found by students prepping for standardized tests. With a PhD from UC Irvine and degrees in Education and English, she’s been working in education since 2004 and has helped students prepare for standardized tests, as well as college and graduate school admissions, since 2007. She enjoys the agony and bliss of train running, backpacking, hot yoga, and esoteric knowledge.

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