april and sanjay are both using tools to simulate the probability that a family with three children will have exactly one girl. april is using a coin, with tails up representing a boy and heads up representing a girl. she flipped the coin three times. sanjay rolled a number cube three times with odd numbers representing a boy and even numbers representing a girl.
Both systems will lead to the same result.
Naming b a boy and g a girl, the set of possible combinations of children is:
Those are 8 possibilities.
In them 3 are with one g, i.e. one girl.
Then the propability of having one girl is 3/8
If you calculate the probabilities of having one head up tossing a coin, you will see that there are 8 total outcomes of which three have only one head up.
Same thing you will findby rolling of a cube and counting ood and even outcomes.