independent event
Reading Passage 1
Game Night Chances
During game night, Maya and her friends play games. In one game, Maya flips a coin for event 1 and rolls a number cube for event 2. They do this many times and write down the results. Maya sees that the coin does not change what number she rolls. The probability of each event stays the same each time. The result of event 1 does not affect the result of event 2. Maya learns these are independent events because each event happens on its own.
Later, the group plays a spinner game. Maya spins once for event 1 and spins again for event 2. She writes down the results and looks for patterns. She sees that the first spin does not change the second spin. Each time they repeat the game, the probability stays the same. By looking at the results many times, Maya knows these are independent events because one event does not change another event. This helps her think about what will happen next.
Reading Passage 2
Game Night Chances
During game night, Maya and her friends play different games. In one game, Maya flips a coin for event 1 and rolls a number cube for event 2. They repeat this many times and record their results. Maya notices that the result of flipping the coin does not change the result of rolling the cube. Even after many trials, the probability of each event stays the same. The outcome of event 1 does not affect the outcome of event 2. By looking at the results, Maya begins to recognize that these are independent events because each event happens on its own.
Later, the group plays another game using a spinner. Maya spins once for event 1 and spins again for event 2. She records the outcomes and looks for patterns. She sees that the result of the first spin does not change the result of the second spin. Each time she repeats the experiment, the probability stays consistent. By analyzing the outcomes of repeated trials, Maya can tell that these are independent events because one event does not change the probability of another event. This helps her understand what will likely happen the next time she plays.
Reading Passage 3
Game Night Chances
During game night, Maya and her friends explore different games of chance. In one activity, Maya flips a coin for event 1 and rolls a number cube for event 2. They conduct multiple trials and carefully record their results. Maya observes that the outcome of the coin flip does not influence the outcome of the cube roll. Across repeated trials, the probability of each event remains constant. The result of event 1 does not impact the result of event 2. From this evidence, Maya concludes that these are independent events because each event occurs without being affected by another.
Later, the group plays a spinner game. Maya spins once for event 1 and then spins again for event 2. She records the data and analyzes patterns in the outcomes. She determines that the result of the first spin does not influence the result of the second spin. With each repeated trial, the probability remains unchanged. By examining the data collected from repeated experiments, Maya identifies these as independent events because one event does not alter the probability of another event. This allows her to make informed predictions about future results.