Probability of Independent Events Counting Tree

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 x

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

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 y

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

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

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

I take one counter, then another without replacement.

Find the probability of picking two red counters.

• ⁶/₉₀

• ⁵/₁₉

• ⁴⁷/₉₀

• ²/₉

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

I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

• ²¹/₉₀

• ⁴⁸/₉₀

• ⁴²/₉₀

• ¹⁰/₁₉

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

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 e.

• 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.

What is the probability that both Bert & Ernie choose orange juice?

• ¹²/₂₀

• ³/₉

• ²/₁₂

• ⁷/₉

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.

What is the probability that Bert & Ernie choose different juices?

• ³/₂₀

• ¹/₁₂

• ¹⁴/₆₀

• ¹⁹/₆₀