The chance of drawing a red ball on the first draw and a green ball on the second draw isĪnswer the chance questions in the quiz group below. The chance of drawing a red ball on the first draw and a red ball on the second draw is If we randomly select two balls from the box: Drawing with replacement makes the draws independent of each other, since the color of the first ball drawn does not affect the color of the second ball. 'With replacement' means that once we select the first ball we put it back in the box before we select the second ball. We randomly select two balls with replacement from the box. We can then multiply the chances of each event.Ī box contains two red balls and four green balls.

These two events are independent, because the way one coin lands does not influence the way the second coin lands.

Event 2: The nickel lands on heads, chance = 1/2.

Event 1: The penny lands on heads, chance = 1/2.

This problem involves the chance of two events happening at the same time. What is the chance of getting a head on both coins? If two events are independent, the chance they both happen is the product of the chances of the events. Multiplication Rule for Independent Events If the occurrence of one event does not affect the occurrence or non-occurrence of the other, we say the events are independent.

Drawing a primary color marble from a bag.

The chance of drawing a green ball is 4/6 = 2/3.Īnswer the basic chance questions in the quiz group below.Īn event is an outcome or a subset of outcomes

The chance of drawing a red ball is 2/6 = 1/3. If we randomly select a ball from the box: The chance is 3/6 =1/2.Ī box contains two red balls and four green balls. If we want to calculate the chance of rolling an even number (2, 4, or 6), we are interested in three of the six possible outcomes. If we want to calculate the chance of rolling a 5, we are interested in just one of the six possible outcomes. We assume that each face has an equal chance of landing face up when we roll the die. In situations where items are being randomly selected from a group, we assume that every item in the group has an equal chance of being selected and use the rule above. When figuring chances, one helpful strategy is to write down or imagine a complete list of all the possible ways that the chance process can turn out. The chance of something gives the percentage of time it is expected to happen, when the basic process is done over and over again, independently and under the same conditions.

King red ball 3