Statistics Tree Diagram

A game is played where a fair coin is flipped.

Heads you lose, tails you get to flip again.

On the second go heads you lose and tails you win.

What is the probability of winning?

• ¹/₂

• ¹/₄

• ³/₄

• 1

There are 8 counters in a bag, 1 is red. I take one counter, replace it, then take another. What is the probability of taking a red counter on the second go?

• ¹/₈

• ⁷/₈

• ¹/₇

• ⁶/₇

Bert & Ernie choose a juice to have for breakfast. The probability that Bert chooses orange is ³/₄. If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅. If Bert chooses apple the probability that Ernie chooses apple is ²/₃. Find the value of the probability marked c.

• ¹/₄

• ¹/₅

• ¹/₃

• ³/₄

Bert & Ernie choose a juice to have for breakfast. The probability that Bert chooses orange is ³/₄. If Bert chooses orange, the probability that Ernie chooses orange is ⁴/₅. If Bert chooses apple the probability that Ernie chooses apple is ²/₃. Find the value of the probability marked d.

• ¹/₄

• ¹/₅

• ¹/₃

• ³/₄

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked w

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

A game is played where a fair coin is flipped. Heads you lose, tails you get to flip again. On the second go heads you lose and tails you win. What is the probability of losing?

• ¹/₂

• ¹/₄

• ³/₄

• 1

There are 8 counters in a bag, 1 is red.

I take one counter, replace it, then take another.

What is the probability of taking a red counter on the first go?

• ¹/₈

• ⁷/₈

• ¹/₇

• ⁶/₇

There are 8 counters in a bag, 1 is red. I take one counter, replace it, then take another. What is the probability of taking counters of the same colour?

• ¹⁴/₆₄

• ¹/₆₄

• ⁵⁰/₆₄

• ⁴⁹/₆₄

Jim and Sue each take a driving test.

What is the probability that both Jim and Sue pass the test?

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀