Estimating Probabilities

Multiple Choice

What is the same about these two experiments? Selecting a letter at random from the word “ALABAMA” and selecting a letter at random from the word “LAMB”.

• Both involve selecting a letter at random from a word.
• Both experiments require writing down the letters chosen.
• Both words contain the same number of vowels.
• Both involve counting the number of letters in a word.

Multiple Choice

What is different about these two experiments? Selecting a letter at random from the word “ALABAMA” and selecting a letter at random from the word “LAMB”.

• Both words have the same number of letters.
• Selecting from 'ALABAMA' is easier than selecting from 'LAMB'.
• The word 'ALABAMA' has repeated letters, while 'LAMB' has all unique letters.
• The word 'LAMB' has repeated letters, while 'ALABAMA' does not.

Multiple Choice

Andre picks a block out of a bag 60 times and notes that 43 of them were green. What should Andre estimate for the probability of picking out a green block from this bag?

• 0.8000
• 0.5833
• 0.5000
• 0.7167

Open Ended

Andre picks a block out of a bag 60 times and notes that 43 of them were green. Mai looks in the bag and sees that there are 6 blocks in the bag. Should Andre change his estimate based on this information? If so, what should the new estimate be? If not, explain your reasoning.

Open Ended

Han has a number cube that he suspects is not so standard. Han rolls the cube 100 times, and it lands on a six 40 times. Kiran rolls the cube 50 times, and it lands on a six 21 times. Lin rolls the cube 30 times, and it lands on a six 11 times. Based on these results, is there evidence to help prove that this cube is not a standard number cube? Explain your reasoning.

Multiple Choice

List the sample space for selecting a letter at random from the word “PINEAPPLE.”

• {P, I, N, E, A, L, E}
• {P, I, N, E, A, L}
• {P, I, N, E, A, L, N}
• {P, I, N, E, A, L, P}

Open Ended

A letter is randomly selected from the word “PINEAPPLE.” Which is more likely, selecting “E” or selecting “P”? Explain your reasoning.