contestada

Suppose a couple has two children, and you know that at least one is a boy. If the probabilities of having a boy or a girl are both 0.5 for any birth, what is the probability that the couple has two boys in this situation? When calculating this conditional probability, you may want to think of the ordered sample space for two kids as S = {bb, bg, gb, gg} . We can assume that births are independent events.

Respuesta :

anthougo

Answer:

The probability of having two boys = 25%

Step-by-step explanation:

The ordered sample space for two kids is given as S =  {bb, bg, gb, gg},

where bb = two boys, bg = a boy and a girl, gb = a girl and a boy, and gg = two girls, in that particular order.

bb occurs 1/4 times

and 1/4 = 0.25 or 25%

Calculating the probability of having two boys is given as the probability of having a boy multiplied by the probability of having a boy

= 0.5 x 0.5

= 0.25

= 25%

This agrees with the ordered sample space given above.

Otras preguntas