# MDM4UB key questions Unit 3 ILC 97%

**Topics:**Probability theory, Prime number, Dice, Expected value, Binomial distribution /

**Pages:**12 (1996 words) /

**Published:**Aug 1st, 2015

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 16 possible outcomes when tossing a coin 4 times. There are exactly 6 ways of tossing exactly 2 heads:

Let A represent the probability of rolling exactly 2 heads.

Therefor the probability of rolling exactly 2 heads is

c) p’(rolling exactly 2 heads)=1-p(rolling exactly 2 heads)

Therefor the probability of not rolling exactly 2 heads is

44.a) p’(dvd player will malfunction)=1-p’(dvd player will malfunction)

Therefor the probability the dvd player will not malfunction before the warranty expires is 68%.

b) odds the dvd player will not malfunction before its warranty expires:

(odds dvd player will not malfunction):(odds dvd player will malfunction)=68:32=17:8

Therefor the odd that the dvd player will not malfunction before it’s warranty expires is 17:8

45.a) There are 13 clubs in a deck of 52 cards

p(the card is a club)=

Therefor there is a chance the card will be a club.

b) There are four fives in a deck of 52 cards

p(the card is a 5)

Therefor the probability the card will be a five is

c) There are two red queens in a standard deck of 52 cards

p(card is a red queen)=

Therefor the probability the card will be a red queen is

d) There are a total of 40 non face cards in a standard deck of 52 cards.

P(card