Probability Tree Diagrams

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

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

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

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.

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.

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?

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?

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 two red counters?

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?

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.