What is m A.51<br> B.129<br> C.134<br> D.141

at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

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 $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

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6 0

2 years ago

Read 2 more answers

Can someone please teach me how to add, subtract, multiply and divide negative numbers?

dedylja [7]

If both numbers are negative u add those up and ur answer will be a negative. so number one is negative 9.
if there is more positive ur answer will be a positive. so number 2 is 13.
number is more complicated so negative 3 +4 is 1 because u have more positive and u just subtract those then 1 minus 8 equals negative 7 and negative 7 minus 7 is 0. hope this helps

3 0

3 years ago

Read 2 more answers

HELP ME OUT HERE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Shtirlitz [24]

Shifted up 8 and right 7

answer
B. second option

7 0

3 years ago

Please help extra points and Mark bring list

Nady [450]

answer: dividing the number by 100

100 ×100= 100000

100000÷100

100

5 0

3 years ago

A mango farm contains 1250 mango trees. Each tree produces an average of 160 mangoes during the summer. How many such mango farm

Bingel [31]

A mango farm has 1250 mango trees......each tree produces 160 mangoes...so each farm produces : 1250 * 160 = 200,000 mangoes

8,000,000 / 200,000 = 40 <== u would need 40 mango farms

6 0

4 years ago

What is m A.51 B.129 C.134 D.141