What is the probability that in a family of 4 children there will be at least one boy and at least one girl assume that the probability of a male birth is 1 2?

What is the probability that in a family of 4 children there will be at least one boy and at least one girl assume that the probability of a male birth is 1 2?

The probability of having at least one boy is the probability of any case except four girls = 1 – 1/16 = 15/16. The probability of having at least one boy and one girl is the probability of any case except either of the two extremes = 1 – 1/16 – 1/16 = 14/16.

What is the probability of getting at most 2 girls?

” births are independent” intuitively mean that the gender of the previous child does not affect the gender of the next child. In mathematical language, if A and B are independent events, then P(A∩B)=P(A)×P(B). So in this case the probability of having two girls should be (0.49)(0.49)=0.2401.

What is the probability that there will be at least one boy?

78
Probability of having at least one boy is 78.

What is the probability of getting a boy in a family of 3 children?

The probability that each child will be a boy is 1/2. The probability that each child will be a girl is 1/2. The probability of at least 1 boy = 1 – the probability of no boys. boys which = 3/8 + 3/8 + 1/8 = 7/8.

What is the probability of having 4 daughters in a row?

1/16
The probability of a woman giving birth to four girls in a row is 1/16.

What is the probability that at least one will be a girl?

There’s a 50\% chance that any given child is a girl, so take . 5 to the 4th power and subtract it from 1, which gives you a 93.75\% chance that at least one child is a girl.

What is the probability that a three-child family has at least one girl?

Originally Answered: In a family of 3 children, what is the probability of having at least one girl? Of these 7 have at least one girl in the mix. Thus the chance of having at least one girl is 7/8 = 87.5\%.

What is the probability of having at least one boy?

The probability of having at least one boy is the probability of any case except four girls = 1 – 1/16 = 15/16. The probability of having at least one boy and one girl is the probability of any case except either of the two extremes = 1 – 1/16 – 1/16 = 14/16.

How many possible combinations have at least one boy?

There are 16 possibilities. Count how many of the 16 have at least 1 boy. The sample space for 4 children consists of 16 elements. (I) There are 4 outcomes with 1 boy, 6 outcomes with 2 boys, 4 outcomes with 3 boys,, and 1 outcome with 4.

What is the probability of having 3 girls and 3 boys?

There are 64 possible gender birth orders, with 20 of these resulting in you having three girls and three boys. The terms p and q are the individual probabilities for a specific outcome from a single “event”. For “gender” calculations, the probabilities p and q are equal, both = 1/2 (the equal probabilities of male and female births).

How many elements are in the sample space for 4 children?

The sample space for 4 children consists of 16 elements. (I) There are 4 outcomes with 1 boy, 6 outcomes with 2 boys, 4 outcomes with 3 boys,, and 1 outcome with 4. p (at least 1 boy)=p (1)+p (2)+p (3)+p (4)= 15/16 that is the same as p (no 4 girls).