Question

PLEASE HELP!!!!

Answer 1

The Answer is C 5/6

250/300 reduced and simplified is 5/6

Answer 2

Answer:

The probability that the student is right-handed given that the student is a girl is:

$\dfrac{5}{6}$

Step-by-step explanation:

From the tree diagram we have to find the probability that the students is right handed given that the student is a girl.

Let A denote the event that the student is a girl.

and B denote the event that the student is right handed.

We are asked to find the probability:

P(B|A)

We know that P(B|A) is calculated as:

$P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}$

There are a total of 500 students.

Out of which 300 are girls.

( i.e. $P(A)=\dfrac{300}{500}=\dfrac{3}{5}$    )

and out of 300 girls 250 are right handed.

( i.e. $P(A\bigcap B)=\dfrac{250}{500}=\dfrac{1}{2}$  )

Hence,

$P(B|A)=\dfrac{\dfrac{1}{2}}{\dfrac{3}{5}}\\\\\\P(B|A)=\dfrac{5}{6}$

Hence,The probability that the student is right-handed given that the student is a girl is:

$\dfrac{5}{6}$