At the end of this lesson, students will be able to:
The lesson begins with students pairing up to play a card game that bears a resemblance to the dice game back in Lesson 1. Each students are given a deck of 52 playing cards. Each student draws one card randomly from the stack and whoever has the higher card wins the round. This is played for 5 rounds and whoever has the most wins, wins the game. However each student is given a life line, where they are allowed to take another card from the stack. To simulate taking a card from a stack of now 52 cards instead of 52. Due to this life line, students have to choose carefully when they want to use their life line. When they do use the lifeline, they must also compute the probability of drawing a card that can be higher than the opposing player onto their books.
This activity will run for roughly 10-15 minutes to give students adequate time to play and inquire about the probability of drawing a winning card out of the deck. The teacher will then gather the students and ask them what happened to the probability of drawing a winning card when they left out their initial card. Another question that can be posed to the students is what would of happen if they replace their initial card with their newly drawn card. What would happen to their probability.
Designed by Johnny Do (Myself)
After the students have form some sort of hypothesis as to what will happen to the probability without replacement, students will again access to the marble bag simulator from lesson 2 to work on simulations but without replacement instead. Students can create any number of trials ranging from two-chance experiments to three or four chance experiments.