Respuesta :
Answer:
1/4
Step-by-step explanation:
We have a family where there are 4 children
The probability of having a girl child = 1/2
The probability of having a boy child = 1/2
Since each child has an equal chance of ending up as a boy or girl
The number of possible outcomes =
1/2 × 1/2 × 1/2 × 1/2 = 1/16
The probability of having a girl that is the only girl in this family = 4 ways
1) bbbg = 3 boys and 1 girl
2) bbgb = 2 boys, 1 girl, 1 boy
3) bgbb = 1 boy, 1 girl, 2 boys
4) gbbb = 1 girl, 3 boys
The probability to have a girl that is the only girl in the family = No of ways × No of possible outcomes
4 ways × 1/16
= 4/16 = 1/4.
Answer:
The answer = 4/16
Step-by-step explanation:
The probability of having a boy is 1/2 and the probability of having a girl is 1/2
Probability that they will be the same gender (all males) =1/2 x 1/2 x 1/2 x 1/2 = 1/16
Probability that they will be the same gender (all females) =1/2 x 1/2 x 1/2 x 1/2 = 1/16
The probability of not having a girl = 1/16
The probability of having at least a girl = 1 - (The probability of not having a girl)
=1- (1/16)
=15/16
Method 1:
Using tree diagram for better explanation:
{g,b,b,b}
{g,b,b,g}
{g,b,g,b}
{g,b,g,g}
{g,g,b,b}
{g,g,b, g}
{b,b,g,b}
{b,b,g,g}
{b,g,b,b}
{b,g,b,g}
{b,g,g,b}
{b,g,g, g}
{b,b,b,b}
{b,b,b, g}
{g,g,g,b}
{g,g,g, g}
The letter g, b represent the girl and boy respectively.
The probability that she is the only girl from the tree diagram above= 4/16
Method 2:
The probability that the 3 children are all boys = 5/16
Then, the probability of having only 1 girl, which is the probability that the girl picked at random is the only girl in the family = 1- (the probability that the 3 children are all boys)
= 1- (5/16) = 4/16
