1. Three fair dices were rolled. (a) How many possible outcomes there will be, if the...

60.1K

Verified Solution

Question

Statistics

1. Three fair dices were rolled.
(a) How many possible outcomes there will be, if the number in eachdice was recorded and the order of dices are considered.
(b) How many possible outcomes there will be, if the sum of thedices are recorded.
(c) What is the probability of getting a result with the sum of thethree dices exactly equals to 6?
(d) What is the probability of getting a result with the sum of thethree dices less than 6?
2. Seven fair coins were flipped andthere outcomes of each coin (head or tail)were recorded.
(a) How many possible outcomes there will be, if the order of coinsare considered?
(b) How many possible outcomes with exactly 3 heads(and 4tails)?
(c) What is the probability of getting a result with exactly 3heads (and 4 tails)?
(d) What is the probability of getting a result with less than 2head(and more than 5 tails)?

Answer & Explanation Solved by verified expert

3.6 Ratings (262 Votes)

1 a Since there are 6 outcomes123456 for each dice and we have three dice then Possible outcomes there will be if the number in each dice was recorded 666 216 b Suppose we get 1 on each dice Sum of 1 on each dice 3 Possible combinations 111 1 Similarly suppose we get a combination like 1 appearing on two dice and 2 appearing on one dice Sum 4 Possible combinations 112 121 211 3 and So on We get the following table SNo TOTAL COMBINATIONS PROBABILITY 1 3 1 00046 2 4 3 00139 3 5 6 00278 4 6 10 00463 5 7 15 00694 6 8 21 00972 7 9 25 01157 8 10 27 01250 9 11 27 01250 10 12 25 01157 11 13 21 00972 See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member