Check for Understanding
Check for Understanding 1. A couple plans to have three children. There are 8 possible arrangements of girls and boys. For example, GGB means the first two children are girls and the third child is a boy. All 8 arrangements are (approximately) equally likely.
Write down all 8 arrangements of the sexes of three children.
2. You roll a six-sided die 100 times. Fill in the table below with a frequency distribution that you consider reasonable (for example, if you write the number 3 next to “one,” then it means that you consider it likely to roll 3 one’s out of 100 tries). Die Face One Two Three Four Five Six
Frequency (out of 100)
3. You have a crazy die. It has sides of 0, 1, 2, 3, 4, and 5. Each has an even probability of being rolled. Let X = roll on this die X P(X)
0
1
2
Fill in the probabilities in the distribution above.
3
4
5
Write down all 8 arrangements of the sexes of three children.
2. You roll a six-sided die 100 times. Fill in the table below with a frequency distribution that you consider reasonable (for example, if you write the number 3 next to “one,” then it means that you consider it likely to roll 3 one’s out of 100 tries). Die Face One Two Three Four Five Six
Frequency (out of 100)
3. You have a crazy die. It has sides of 0, 1, 2, 3, 4, and 5. Each has an even probability of being rolled. Let X = roll on this die X P(X)
0
1
2
Fill in the probabilities in the distribution above.
3
4
5
