Tree Diagrams/Multiplication Rule

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking two limes?

• 1/10

• 2/5

• 5/20

• 4/20

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking exactly 1 lemon?

• 12/20

• 6/20

• 2/20

• 18/20

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random and then put it back. Your friend then picks a pen. What is the probability you both pick red?

• 1/9

• 2/9

• 6/9

• 4/9

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random without putting it back. Your friend then picks a pen. What is the probability you both pick black pens?

• 1/6

• 4/9

• 3/81

• 9/72

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability that Sally wins both games?

• 0.3

• 0.45

• 0.15

• 0.1

Tags

CCSS.7.NS.A.2

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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?

• ¹/₈

• ¹/₆₄

• ²/₈

• ²/₆₄

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8