Dependent and Independent Events

Beth rolled a dice and it landed on the number 4. She rolled it for a second time and landed on the number 3. What kind of event is the second roll?

• Independent Event

• Dependent Event

Harry bought a jar of marbles containing two red, four green and six blue. He selects three marbles at random. Which of these statements cannot be true?

• He selects no reds

• He selects three reds

• That after selecting one red and one blue, the next might be green.

Naomi rode her bike to school every day. Which statement is a dependent event? (Which event would happen because Naomi rode her bike to school?)

• She took the same route each day

• She was late one day due to a flat tyre

• One day in the week it rained while she was riding

Joe is playing a spinner game with a spinner like the one shown to the side. Which statement is true?

• Each spin is an independent event

• He spun a purple on his first go

• Each spin is a dependent event

Della is playing a card game. In her hand are all 4 of the queens. Which statement is not true?

• The next card she will pick from the pile will be the 3 of hearts

• The next card she will pick from the pile will be a Queen

• The next card she will pick from the pile will be a king

Fiona gets two turns to pick toys from the lucky dip like the one shown below. Each toy is different. Which statement cannot true?

• On her first go she picks a teddy bear

• She doesn’t pick a duck on either turn

• On her first and second go she picks a fidget spinner.

Mel selects 6 cards from a pack, all of them are red. Which statement could be true?

• She might pick a black card next

• It is impossible that she picks another red

• The next card picked is an independent event

Georgina plays a fishing game where there are 8 pretend fish to catch. There are 3 blue fish, 1 yellow fish and 4 silver fish. She gets 3 turns on the game. Which statement is not true?

• She catches no fish

• She catches 2 yellow fish and 1 blue fish

• She catches the yellow fish on her first turn

Taylah is playing bottle flip with her friends. The aim is to flip the bottle and get it to land the correct way up. She has 3 tries and all land the correct way up. What statement could be true?

• It is certain the next one will land the correct way up

• It must fall the next time because they are dependent events

• Her next try could be to land it or not as they are independent events.

You hear someone say, ‘If you flip a coin 4 times in a row and they all land on heads, the next one must be tails.’ Which statement below do you agree with in response to this?

• Yes, it must be a tails next

• No, each flip of the coin is an independent event it could be either

• Yes, because it is a dependent event