Probability Venn, Tree Diagram

What statement does the shaded region represent?

• A or B

• A and B

• A

• B

How many senior boys play football and wrestle?

• 9

• 12

• 18

• 39

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

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play all three sports?

• ³¹/₈₀

• ⁴⁵/₈₀

• ⁶²/₈₀

• ⁶⁷/₈₀

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

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

How many senior boys play football but do not wrestle?

• 9

• 12

• 18

• 104

If a student is picked at random, what is the probability that they play football only?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀