# MDM4UB key questions Unit 3 ILC 97% Essay

1987 Words
Jul 22nd, 2015
8 Pages

Unit 3, Key Questions

MDM4U-B

Lesson 11

42.a) ii): equal to about half. There are 26 red cards out of a deck of 52 playing cards. Therefor the theoretical chance of drawing a red card is .

b) i): equal to about 1. The sun shines all year round, including the summer. Even though you may not be able to see the sun cause it’s hidden behind clouds it’s still shining.

c) iii): equal to about 0. When you roll two dice, it is impossible to roll a sum of 1. The lowest sum you can roll with two dice is 2.

43.a) When a coin is tossed 4 times there are 16 possible outcomes and one way to roll a heads 4 times in a row. Let A represent the probability of rolling 4 heads.

Therefor the probability of rolling a head four times is .

b) There are

MDM4U-B

Lesson 11

42.a) ii): equal to about half. There are 26 red cards out of a deck of 52 playing cards. Therefor the theoretical chance of drawing a red card is .

b) i): equal to about 1. The sun shines all year round, including the summer. Even though you may not be able to see the sun cause it’s hidden behind clouds it’s still shining.

c) iii): equal to about 0. When you roll two dice, it is impossible to roll a sum of 1. The lowest sum you can roll with two dice is 2.

43.a) When a coin is tossed 4 times there are 16 possible outcomes and one way to roll a heads 4 times in a row. Let A represent the probability of rolling 4 heads.

Therefor the probability of rolling a head four times is .

b) There are

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53. a)

There is a or 1.9% chance of drawing an 8 then a diamond with replacement.

b)

There is a 1.81% probability of drawing an 8 then a face card with no replacement.

54.a)

Let A represent that Sarah will miss her bus

Let B represent Sarah will be late for class if she misses her bus

P’(B)=1-p(B) =1-0.4 =0.6

Therefor there is a 12% chance Sarah will miss the bus tomorrow but still be on time

b) Let A represent that Sarah will miss her bus

Let B represent Sarah will be late for class if she misses her bus

Therefor the probability that Sarah will be late on any given day is:

Therefor there is 16% probability that Sarah will be late on any given day.

Key Questions Lesson 14

55.a) continuous, because length can be measured as accurately as a fraction of a meter.

b) discrete, because the number of cars can only be measured in whole numbers. There cannot be half a car.

56.a)

There are 6 ways to roll a 7 when two ten-sided dice are rolled

The total number of possible outcomes when two 10-sided dice are rolled is

Therefor the probability of rolling a sum of 7 with two 10-sided dice is

b.

c. expected value:

Therefor the expected value for the sum of the two 10-sided dice is 11.

57. expected value of 6-sided dice with numbers 4,5,6,7,8,9:

Value of roll, x

Probability, p(x)

4

5

6

7

8

9

There is a or 1.9% chance of drawing an 8 then a diamond with replacement.

b)

There is a 1.81% probability of drawing an 8 then a face card with no replacement.

54.a)

Let A represent that Sarah will miss her bus

Let B represent Sarah will be late for class if she misses her bus

P’(B)=1-p(B) =1-0.4 =0.6

Therefor there is a 12% chance Sarah will miss the bus tomorrow but still be on time

b) Let A represent that Sarah will miss her bus

Let B represent Sarah will be late for class if she misses her bus

Therefor the probability that Sarah will be late on any given day is:

Therefor there is 16% probability that Sarah will be late on any given day.

Key Questions Lesson 14

55.a) continuous, because length can be measured as accurately as a fraction of a meter.

b) discrete, because the number of cars can only be measured in whole numbers. There cannot be half a car.

56.a)

There are 6 ways to roll a 7 when two ten-sided dice are rolled

The total number of possible outcomes when two 10-sided dice are rolled is

Therefor the probability of rolling a sum of 7 with two 10-sided dice is

b.

c. expected value:

Therefor the expected value for the sum of the two 10-sided dice is 11.

57. expected value of 6-sided dice with numbers 4,5,6,7,8,9:

Value of roll, x

Probability, p(x)

4

5

6

7

8

9