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The event "Atleast once" is the complement of event "None".
So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.
At Morning, the probability that Marvin does not teleport = 2/3
Likewise, the probability tha Marvin does not teleport during evening is also 2/3.
Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.
So, the probability that Marvin does not teleport during the day =
Probability that Marvin teleports atleast once during the day = 1 - Probability that Marvin does not teleport during the day.
Probability that Marvin teleports atleast once during the day =
This problem can be completed in 2 ways. Both are acceptable.
Option 1:
This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.
The area of one of the triangles is half the base times the height.
The other triangle must have that area too.
The area is 56 square centimeters.
Option 2:
We can use the area formula for the trapezoid.
Where
is the length of the shorter base
and
is the length of the longer base
and
is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.
Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
Option 1:
This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.
The area of one of the triangles is half the base times the height.
The other triangle must have that area too.
The area is 56 square centimeters.
Option 2:
We can use the area formula for the trapezoid.
Where
and
and
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.
Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.