Probability Tables and Tree Diagrams

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Which tree diagram shows the correct completed tree diagram?

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Answer explanation

What's the probability that two red balls are picked?

Answer explanation

To find the probability of a combination of outcomes, multiply the probabilities along the relevant branches. If more than one combination gives the desired outcome, add their probabilities

Is this Probabilty tree showing an independent or dependent event?

• dependent

• independent

If I eat one green jelly baby, which tree diagram shows the correct probabilities for the second jelly baby ?

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What is the probability of eating 1 green and then 1 red jelly baby?

Eg a bag contains 3 red and 7 blue balls.

A ball is picked, not replaced, and another picked.

Find the probability that:

a)1 of each colour is picked

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Answer explanation

To find the probability of a combination of outcomes, multiply the probabilities along the relevant branches. If more than one combination gives the desired outcome, add their probabilities

A survey of 300 students asked whether they like pizza or burgers. The responses are summarized in the table. What is the probability that a randomly selected student likes burgers, given they are female?

• • 50%

• • 33.33%

• • 40%

• • 25%

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent prefers burgers, given they are from the South?

• • 0.4

• • 0.38

• • 0.6

• • 0.5

A mosaic plot represents survey results of food preferences (Pizza, Burger) by region (North, South). Northerners make up 40% of the respondents.

What is the probability that a respondent prefers pizza, given they are from the North?

• • 0.4

• • 0.38

• • 0.6

• • 0.8