Y10:probability

Two dice are thrown together.

Use a tree diagram to find the probability that one number is even and the other is odd.

• 1/4

• 1/3

• 1/2

• 3/4

Two dice are thrown together.

Use a tree diagram to find the probability that both numbers are less than five.

• 2/9

• 4/9

• 1/2

• 2/3

Jack wakes up late on average 3 days in every 5.

If Jack wakes up late, the probability he is late for school is 0.9.

If Jack does not wake up late, the probability he is late for school is 0.3.

On what percent of days does Jack get to school on time?

• 0.34

• 0.50

• 0.67

• 0.8

Tina's favourite meal is pasta, followed by ice cream for dessert.

Tina's Mom cooks pasta once a week.

If she cooks pasta, then the probability Tina gets ice ream for dessert is 2/3.

If she does not cook pasta, then the probability Tina gets ice ream for dessert is 1/4.

What is the probability that Tina gets ice cream for dessert?

• 8/49

• 3/14

• 1/3

• 4/7

Teddy has a two pairs of black shoes and three pairs of brown shoes. He also has three pairs of red socks, four pairs of brown socks and six pairs of black socks,

If Teddy chooses a pair of shoes at random and a pair of socks at random, what is the probability that he chooses shoes and socks of the same colour?

• 4/13

• 24/65

• 5/13

• 6/13

Teddy has two pairs of black shoes and three pairs of brown shoes.

He also has three pairs of red socks, four pairs of brown socks and six pairs of black socks,

If Teddy chooses a pair of shoes at random and a pair of socks at random, what is the probability that the colors he chooses are black and brown (in some order)?

• 2/5

• 6/13

• 3/5

• 10/13

• 1/13

• 15/133

• 7/30

• 13/30

• 62

• 73

• 114

• 127

A bag contains 3 white balls, 4 green balls and 5 red balls. Three balls are drawn from the bag without replacement.

Use a tree diagram to find the probability that the balls are all of different colours.

• 3/110

• 1/22

• 2/11

• 3/11

A bag contains 3 white balls, 4 green balls and 5 red balls. Three balls are drawn from the bag without replacement.

Use a tree diagram to find the probability that the balls are all the same colour.

• 1/99

• 1/22

• 1/44

• 1/11