NOTE: This question wasn\'t completed, I do not need PART A) done again A fair w
ID: 3181425 • Letter: N
Question
NOTE: This question wasn't completed, I do not need PART A) done again
A fair white die has 1, 2, 3, 4, 5, 5 printed on its 6 faces, and a fair red die has 1, 1, 2, 3, 4, 5 printed on its 6 faces.
(a) The two dice are rolled together once and the number coming up on each die is observed. Write down all the sample points for this experiment, and assign a reasonable probability to each one. Then use the sample point method to find the probability that the total of the two numbers coming up is less than 6.
(b) The white die is rolled once and the red die is rolled twice. Use the event composition method to find the (single) probability that the number coming up on the white die is less than 4, or neither of the numbers coming up on the red die is 1.
(c) The two dice are rolled together repeatedly until different numbers come up. Find the probability that the total of the numbers coming up on the final roll of the two dice is exactly 6.
Explanation / Answer
b) the event composition method to find the (single) probability that the number coming up on the white die is less than 4, or neither of the numbers coming up on the red die is 1
=P(white <4) +P(red=1)
=3/6 + 2/36
=1/2 + 1/18
=10/18
=5/9
The probability that the number coming up on the white die is less than 4, or neither of the numbers coming up on the red die is 1 is 5/9 or 0.556.
c)
when two dice are rolled there are 36 outcomes, outcomes with same faces are (1,1),(1,1),(2,2),(3,3),(4,4),(5,5),(5,5) i.e. 7 outcomes.
For this probability no repetation is required so total outcome=36-7=29.
Outcome with total 6 =(1,5),(5,1),(5,1),(5,1),(5,1),(2,4),(4,2)
Total outcome with total 6 =7
the probability that the total of the numbers coming up on the final roll of the two dice is exactly 6.
=7/29
The probability that the total of the numbers coming up on the final roll of the two dice is exactly 6 is 7/29.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.