Probability With or Without Replacement

A box contains 5 green marbles, 4 yellow marbles, and 3 red marbles. If two marbles are drawn without replacement, what is the probability that both marbles are yellow?

• 2/11

• 4/11

• 3/11

• 1/11

A deck of cards contains 3 aces, 4 kings, and 6 queens. If two cards are drawn without replacement, what is the probability that both cards are queens?

• 2/5

• 3/8

• 5/26

• 1/3

A box contains 6 green marbles, 5 yellow marbles, and 2 red marbles. If two marbles are drawn without replacement, what is the probability that both marbles are green?

• 1/3

• 2/7

• 3/8

• 5/26

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 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

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

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 e.

• ¹/₄

• ¹/₅

• ¹/₃

• ³/₄