Question

A game involves rolling a number cube and flipping a coin each turn . Each time a player rolls a 6 and flips a heads, the player gets bonus points. The Table shows the results of Jenna's first 10 turns.

(a) What is the theoretical probability of Jenna receiving bonus points? Identify the sample space. Show your work.
(b) What is the experimental probability of Jenna receiving bonus points shown in the table? Show your work.
(c) How does the experimental probability compare to the theoretical probability? Which is greater? What does this mean?
(d) What will happen to the experimental probability as the number of turns increases to 100? Explain.

Answer 1

a) 1:12

b) 2:10, 1:5

c) I'm not really sure what to put here, basically Jenna is lucky and in 10 turns got bonus points twice when the chances are 1 out of 12

d) 20:100

Different scenarios

H - 1

H - 2

H - 3

H - 4

H - 5

H - 6

T - 1

T - 2

T - 3

T - 4

T - 5

T - 6