In a nursery, there are two baby boys and an unknown number of baby girls. a new baby is just born inside the room. we randomly select a baby from the room, and it turns out that the baby is a boy. what is the probability that the new baby just born is a boy?

The probability that the new baby just born is a boy is 0.6

Step-by-step explanation:

Applying Bayes's Theorem:

P(A|B)=P(A) P(B|A) / [ P(A) P(B|A)+ P(C) P(B|C) ]

Where:

The probability for P(A) and P(C) is 1/2 becuase there are only two options. Girl or Boy

n= number of girls born

3+n= Total number of children in the nursery

Then,

P(A|B)=

P(A|B)=3/5

P(A|B)=0.6

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.