1.) Numbered disks are placed in a box and one disk isselected at random. If the

Question

1.) Numbered disks are placed in a box and one disk isselected at random. If there are 5 red disks numbered 1 through 5,and 4 yellow disks numbered 2 through 5, find the probability ofselecting an even numbered disk, given that a yellow disk isselected. Your answer must be a fraction expressed in lowestterms. 2.) Two dice a rolled. What is the probability of having bothfaces the same (doubles) or a total of 4 or 10? Please show explnation and formulas used. 1.) Numbered disks are placed in a box and one disk isselected at random. If there are 5 red disks numbered 1 through 5,and 4 yellow disks numbered 2 through 5, find the probability ofselecting an even numbered disk, given that a yellow disk isselected. Your answer must be a fraction expressed in lowestterms. 2.) Two dice a rolled. What is the probability of having bothfaces the same (doubles) or a total of 4 or 10? Please show explnation and formulas used.

Explanation / Answer

5 red disks 4 yellow disks - 2 are even
probability of even , given yellow disk isselected. If there are 4 yellow disks, and 2 are even, then 50% of yellow areeven so if the disk is yellow, there is a 50% chance it is even, =1 outof 2
2.) Two dice a rolled.;there are 36 possible outcomes, 6 times6 doubles means one of 6 possible outcomes (11 22 33 44 55 66)=6/36 4 or 10? FOUR: 13,31,22 - 3 possible (one is a double) =3/36
TEN 46,55,64 - 3 possible ( one is a double) =3/36
SO a 'WIN' is any of the 6 or 3 or 3 (but you must subtract twopossible combinations for the doubles), so 9 ways to WIN =9/36

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