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<p>i did the problem in traditional manner. can you help me with doing the problem faster?</p>
<p>thanks</p>
<p>What is the probability that when a die is rolled 2 times, the sum is less than 10?</p>
<p>Well, we can just do 1 - the probability that the sum is 10 or more.
The only ways to get 10 or more are: 5-5, 5-5, 5-6, 6-5, 6-6, 6-6</p>
<p>1-(6/36)=1-(1/6)=5/6. This shouldn’t take more than 30 seconds.</p>
<p>What is the probability you get heads exactly twice out of three flips?</p>
<p>There are 8 possible scenarios (2x2x2).
Of these 8, only 3 work: (H-H-T, H-T-H, T-H-H)</p>
<p>3/8… shouldn’t take much more than 20 seconds.</p>
<p>This problem is basically asking what is the probability that when picking two integers (1 through 4), what is probability that when multiplied together, the result is a perfect square.</p>
<p>There are obviously 16 scenarios (4x4).
Of these, 6 work (1-1, 2-2, …, …, 1-4, 4-1)</p>
<p>6/16=3/8… I think this is the only way to do this, but honestly, it can be done in under a minute if your quick enough.</p>
<p>man, u are good. your sat score must be so high</p>
<p>Noooo. Just math.</p>
<p>why did you include 5-5 twice because when i listed the possibilities, the choices that resulted in more than 10 are : 4-6. 5-5, 5-6, 6-5, 66. though, u are right, i just want to know, how did u figure with ur thought process</p>