Compute Probabilities Involving Permutations and Combinations
-Six Students, A, B $C$

question 20

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-Six students, A, B, C, D, E, F, are to give speeches to the class. The order of speaking is determined by random selection. Find the probability that (a) E will speak first (b) that $C$ will speak fifth and $B$ will speak last (c) that the students will speak in the following order: DECABF (d) that A or B will speak first.

• A) \(\frac { 1 } { 6 } ; \frac { 1 } { 24 } ; \frac { 1 } { 720 } ; \frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 6 } ; \frac { 1 } { 12 } ; \frac { 1 } { 720 } ; \frac { 1 } { 3 }\)
• C) \(\frac { 1 } { 6 } ; \frac { 1 } { 36 } ; \frac { 1 } { 720 } ; \frac { 1 } { 12 }\)
• D) \(\frac { 1 } { 6 } ; \frac { 1 } { 36 } ; \frac { 1 } { 360 } ; \frac { 1 } { 3 }\)

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Definitions:

Learned Helplessness

A condition in which a person suffers from a sense of powerlessness, arising from a traumatic event or persistent failure to succeed.

Mindfulness

A cultivated perspective in which people are sensitive to context and focused on the present.

Meditation

A family of mental exercises in which a conscious attempt is made to focus attention in a nonanalytical way.

Mindlessness

Engaging in rote behavior, performing familiar, scripted actions without much cognition, as if on autopilot.