1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kupik [55]
2 years ago
11

When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the first die is 3 or that doubles

are rolled.
Mathematics
1 answer:
olga2289 [7]2 years ago
7 0

Step-by-step explanation:

The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:

From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.

Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:

P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136

You might be interested in
If m=-4, n=1, p=2, q= -6, r=5, and t=-2 what's the expression of |-n-2mp|​
Law Incorporation [45]

Answer:

15

Step-by-step explanation:

that should be correct if you multiply correctly

6 0
3 years ago
Children sometimes mistakenly read the number 1001 as “one hundred one.” Why do you think a child would make such a mistake? Dra
sleet_krkn [62]

Step-by-step explanation:

they may think about it how they see it. Not 1001 but instead 100(and)1.

6 0
2 years ago
Help pleasee thank you so much in advance
Solnce55 [7]

Answer:

120

Step-by-step explanation:

180 subtract 60 equals 120

6 0
3 years ago
Read 2 more answers
david is filling five (3)/(4 )bottles with a sports drink. His measuring cup only holds (1)/(4)quart. How many times will david
shepuryov [24]
4/4 is the answer here u go
3 0
3 years ago
Bean plants grow rapidly. A bean plant is 16 inches tall. Tomorrow it will be 24 inches tall, the next day it will be 32 inches
vodka [1.7K]
Every day, it increases by 8 inches. We know that it started at 16 inches.

We can construct an equation with this information.

Equation: 16+8x=h
h=Height
x=Days

Plug in 12 for x:
16+96=h
h=112 inches

Answer: The plant will be 112 inches tall in 12 days.
3 0
3 years ago
Other questions:
  • What is the value of the 8 in this number...1,284,590?​
    10·1 answer
  • jonah is planting a rectangular garden the perimeter of the garden is 120 yards and the width is 20 yards what is the length of
    15·1 answer
  • Need help with #4. Is it right?
    9·1 answer
  • Helpppppppppppppppppppppppppppp
    6·1 answer
  • The possums were on their 20 yard line. On the next four plays they gained 1 yard, lost 8 yards, lost 12 yards and gained 24 yar
    8·2 answers
  • Can someone please help me with this question
    14·1 answer
  • Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!
    10·2 answers
  • Factor the polynomial: - x3 - 2x2 – 3x
    12·1 answer
  • Help help help help
    12·1 answer
  • Pls help me this is due in 6 minutes
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!