The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Find the probability that a randomly selected person is a runner, given that he has high blood pressure.

The probability of choosing a person with BP  who is also a runner is 2/3.

Step-by-step explanation:

According to the given data:

P( Selecting a  person with high blood pressure )  =  0.3

or, P(H)  = 0.3

P( Selecting a  person who is a Runner )  =  0.4

or, P(R)  = 0.4

Now, P( Randomly Selecting a person who has high BP and is a runner)  = 0.2

⇒ P(H∩ R)  = 0.2

Now, we need to find the P(randomly selected person is a runner and has already has high BP)

or we need to find: P(R/H)

now, by BAYES THEOREM:

Hence, the probability of choosing a person with BP  who is also a runner is 2/3.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

cheater

step-by-step explanation: