Question

Hector will roll two fair, six-sided dice at the same time. Let A = the event...

Hector will roll two fair, six-sided dice at the same time. Let A = the event that at least one die lands with the number 3 facing up. Let B = the event that the sum of the two dice is less than 5.

1. What is the correct set notation for the event that “at least one die lands with 3 facing up and the sum of the two dice is less than 5”? 2. Calculate the probability that at least one die lands with 3 facing up and the sum of the two dice is less than 5. 3. What is the correct set notation for the event that “at least one die lands with 3 facing up if the sum of the two dice is less than 5”? 4. Calculate the probability that at least one die lands with 3 facing up if the sum of the two dice is less than 5. 5. What is the correct set notation for the event that “the sum of the two dice is not less than 5 if at least one die lands with 3 facing up”?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

1. The correct set nitation for this event is

2. Now, 2 dice are rolled. Total no of possible combinations is =

In case of , we have only two favourable cases, namely :. {1,3} and {3,1}

So.

3. In probability the cirrect notation for this event is A|B

4.

Now, favourable cases to B is :

{1,1}{1,2}{1,3}{2,1}{2,2}{3,1} , ie 6

Som P[B] = 6/36

So. Required probability =

5. The correct notation for this event is B' | A .

If you have any doubts, let me know in the comment section. Thank you

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You roll two six-sided fair dice. a. Let A be the event that the first die...
You roll two six-sided fair dice. a. Let A be the event that the first die is even and the second is a 2, 3, 4 or 5. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is a 7. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually...
Consider rolling two fair six-sided dice. a) Given that the roll resulted in sum of 8,...
Consider rolling two fair six-sided dice. a) Given that the roll resulted in sum of 8, find the conditional probability that first die roll is 6. b) Given that the roll resulted in sum of 4 or less, find the conditional probability that doubles are rolled. c) Given that the two dice land on different numbers, find the conditional probability that at least one die is a 6.
You roll two six-sided fair dice. a. Let A be the event that either a 3...
You roll two six-sided fair dice. a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) =   Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 7. P(B) =  Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually Exclusive d....
We roll three fair six-sided dice. (a) What is the probability that at least two of...
We roll three fair six-sided dice. (a) What is the probability that at least two of the dice land on a number greater than 4? (b) What is the probability that we roll a sum of at least 15? (c) Now we roll three fair dice n times. How large need n be in order to guarantee a better than 50% chance of rolling a sum of at least 15, at least once?
You roll two fair six-sided dice. What is the probability that the sum of the two...
You roll two fair six-sided dice. What is the probability that the sum of the two dice values is exactly five? Be sure to count all possible outcomes. (Hint: The event space has 36 distinct outcomes).
roll a pair of fair dice and at least one of the dice is a six....
roll a pair of fair dice and at least one of the dice is a six. without any further information to go on, what is the conditional probability that the sum of the dice is 8? Is the event that “sum is 8” independent from the event that “at least one of the dice is a six”?
5 fair 8-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least...
5 fair 8-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least one die lands on 3 given that all 5 dice land on different numbers. (b) [2 marks] True or False: If X is the minimum of the 5 numbers from one roll, and Y is the sum of the 5 numbers from one roll, then X and Y are independent random variables.
Find the conditional​ probability, in a single roll of two fair​ 6-sided dice, that the sum...
Find the conditional​ probability, in a single roll of two fair​ 6-sided dice, that the sum is less than 6​, given that the sum is odd.
We roll two fair 6-sided dice, A and B. Each one of the 36 possible outcomes...
We roll two fair 6-sided dice, A and B. Each one of the 36 possible outcomes is assumed to be equally likely. a. Find the probability that dice A is larger than dice B. b. Given that the roll resulted in a sum of 5 or less, find the conditional probability that the two dice were equal. c. Given that the two dice land on different numbers, find the conditional probability that the two dice differed by 2.
Suppose that you roll 117 fair six-sided dice. Find the probability that the sum of the...
Suppose that you roll 117 fair six-sided dice. Find the probability that the sum of the dice is less than 400. (Round your answers to four decimal places.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT