A Dodecahedral Die Has 12 Sides Numbered from 1 to 12

question 24

Multiple Choice

A dodecahedral die has 12 sides numbered from 1 to 12. The die is rolled once.
a. What is the probability that the upward face shows a number divisible by 2?
b. What is the probability that the upward face shows a number that is a multiple of 11?

• A) (a) \(\frac { 1 } { 2 }\) ; (b) \(\frac { 1 } { 12 }\)
• B) (a) \(\frac { 1 } { 4 }\) ; (b) \(\frac { 1 } { 24 }\)
• C) (a) \(\frac { 1 } { 4 }\) ; (b) \(\frac { 1 } { 12 }\)
• D) (a) \(\frac { 1 } { 2 }\) ; (b) \(\frac { 1 } { 24 }\)
• E) (a) \(\frac { 1 } { 2 }\) ; (b) \(\frac { 1 } { 6 }\)

---

Definitions:

Tertiary Circular Reactions

A stage in Piaget's theory of cognitive development where infants experiment with new behaviors to see the outcomes, typically occurring between 12 and 18 months of age.

Preverbal Infants

Infants who are at the stage of development before they acquire the ability to use words or language.

Child-directed Speech

A modified way of speaking often used by adults when talking to infants and young children, characterized by higher pitch, slower tempo, and exaggerated intonation, intended to aid language acquisition.