Open Up - Grade 7 - Mathematics - Unit 8 - Lesson 4

By Formative Library
Last updated about 3 years ago
6 Questions

A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
  • If there’s a red mark on the bottom of the duck, the person wins a small prize.
  • If there’s a blue mark on the bottom of the duck, the person wins a large prize.
  • Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Estimate the number of the 160 ducks that you think have red marks on the bottom.

7.NS.2.d
7.SP.6
7.SP.5
7.SP.7.b
5.NBT.3.a

A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.
  • If there’s a red mark on the bottom of the duck, the person wins a small prize.
  • If there’s a blue mark on the bottom of the duck, the person wins a large prize.
  • Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Then estimate the number of ducks you think have blue marks.

7.NS.2.d
7.SP.6
7.SP.5
7.SP.7.b
5.NBT.3.a

Lin wants to know if flipping a quarter really does have a probability of \frac{1}{2} of landing heads up, so she flips a quarter 10 times. It lands heads up 3 times and tails up 7 times.

Has she proven that the probability is not\frac{1}{2} ?

7.NS.2.d
7.SP.6
7.SP.5
7.SP.7.b
5.NBT.3.a

A spinner is spun 40 times for a game. Here is a graph showing the fraction of games that are wins under some conditions.
Estimate the probability of a spin winning this game based on the graph.

7.NS.2.d
7.SP.6
7.SP.5
7.SP.7.b
5.NBT.3.a

Which event is more likely: rolling a standard number cube and getting an even number, or flipping a coin and having it land heads up?

7.NS.2.d
7.SP.6
7.SP.5
7.SP.7.b
5.NBT.3.a

Noah will select a letter at random from the word “FLUTE.” Lin will select a letter at random from the word “CLARINET.”

Which person is more likely to pick the letter “E?”

7.NS.2.d
7.SP.6
7.SP.5
7.SP.7.b
5.NBT.3.a
"Source: Open Up Resouces (Download for free at openupresources.org.)"