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Stells [14]
3 years ago
13

Consider the trial on which a 3 is first observed in successive rolls of a six-sided die. Let A be the event that 3 is observed

on the first trial. Let B be the event that at leasttwotrialsarerequiredtoobservea3.Assumingthat each side has probability 1/6,
1. P(A)
2. P(B)
3.P(A U B)
Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

1) 0.1667

2) 0.8333

3) 1

Step-by-step explanation:

Let A be the event that 3 is observed on the first trial.

Let B be the event that at least two trials are required to observe a 3

a) A six-sided die has 6 possible outcomes of 1,2,3,4,5,6

3 is one of the six possible outcomes

P(A) = no of favourable outcomes /no of possible outcomes

P(A) = 1/6 = 0.1667

b) The event of requiring at least two trials to observe a 3 is the event of not observing a 3 on the first trial.

P(B) = P(A')

P(A')= 1 - P(A)

P(B) = 1 - 1/6

= 5/6 = 0.8333

c) P(AnB) = P(A) + P(B)

= 1/6 + 5/6

= 6/6 = 1

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Kryger [21]

The probability of occurrence for the events A, B and C is; 1/4.

<h3>What is the probability of occurrence of.the described events?</h3>

For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;

Event A = 2/8 = 1/4.

For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;

Event B = 2/8 = 1/4.

For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;

Event C = 2/8 = 1/4.

Read more on probability;

brainly.com/question/251701

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7 0
2 years ago
The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?
Virty [35]

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

8 0
3 years ago
A small child is at a candy store, eager to spend his $1 allowance on candy. His two favorite candies are priced at $0.05 and $0
andre [41]
It is A. 0.05 represents one of his candies, and x represents how many of those, 0.10 represents the other candy while y represents how many of those candies. 1.00 is the total it should come to.
7 0
3 years ago
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Which of the following linear systems has a solution <br> (5,0)<br> SOMEONE PLS HELPPP
Korvikt [17]

Answer:

D

Step-by-step explanation:

out of the choices

A) 2x-y=-2

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B) x+4y=3

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C) 2x+3y=5

x-4y=-14

D) 3x+4y=15

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only the system in D has a solution of x=5 and y=0

solve by substitution x+y=5 so x=5-y

plug into the other equation so 3(5-y)+4y=15

distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms

so y=0 then put that value back into the other equation

so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)

Hope this helps! :)

3 0
3 years ago
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Burka [1]
I don't see a mistake. You solve in parentheses first, then you solve exponents. If the exponent is 0 in this context, the answer would be 0.
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