Question 1194040: One standard die is rolled twice. Find the probability of getting on two rolls of the die:
a) a pair whose sum is even
b) a sum less than 5
c) a sum less than 15
d) a pair of identical odd numbers
Answer by ikleyn(52884)   (Show Source):
You can put this solution on YOUR website! .
One standard die is rolled twice. Find the probability of getting on two rolls of the die:
a) a pair whose sum is even
b) a sum less than 5
c) a sum less than 15
d) a pair of identical odd numbers
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There are too many questions for one post.
I will answer only two questions: (c) and (d).
(c) This probability is equal to 1 (one),
since the sum of two outcomes of rolling one standard die twice is always not more than 6+6 = 12.
(d) The total number of possible pairs-outcomes is 36.
Of them, favorable are these 3 (three) pairs (1,1), (3,3), (5,5).
Therefore, the probability of the favorable event is P =  =  .
Solved.
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To see many similar problems solved on rolling dice, look into the lesson
- Rolling a pair of fair dice
in this site. Learn the subject from there.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Solved problems on Probability".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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