The probability that a student participates in both sports and drama is 
.
<h3>What is the formula for P(AUB), where A and B are any two events?</h3>
If 
and 
are any two events, then the probability of the joint event 
is given by the following formula: 
Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.
Suppose 
denotes that "a student participates in sports" and 
denotes that "a student participates in drama".
So, we have 
, 
, 
.
We want to find the probability that a student participates in both sports and drama i.e., we want to find 
.
By the above formula, we obtain:
Therefore, the probability that a student participates in both sports and drama is .
To learn more about probability, refer: brainly.com/question/24756209
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Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Answer:
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Step-by-step explanation:
Commutative Property of Multiplication. Hope this helps :)
