Maths Quest Maths B Year 11 for Queensland Chapter 11 Introduction to probability WorkSHEET 11.11
WorkSHEET 11.1 Introduction to probability
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Maths Quest Maths B Year 11 for Queensland Chapter 11 Introduction to probability WorkSHEET 11.11
1 / Use an appropriate probability to describe the chance of each of the following events occurring.(a)Selecting a queen from a standard deck of cards.
(b)Reaching into a cash register and selecting a 1c piece.
(c)A boy being selected when a student is chosen from a class of 20 boys and 10 girls. / (a)Unlikely
(b)Impossible
(c)Probable / 3
2 / A card is selected from a standard deck. Rank the following outcome in order from most likely to least likely.
ASelecting an ace
BSelecting a red card
CSelecting a court card
DSelecting a spade
ESelecting a spot card / Number of ways each outcome can occur shown in brackets
1Selecting a spot card (40)
2Selecting a red card (26)
3Selecting a court card (16)
4Selecting a spade (13)
5Selecting an ace (4) / 5
3 / At a swimming meet, Ian Thorpe raced Grant Hackett over 400 metres. At the time Ian was the Olympic champion, World champion and world record holder.
(a)Who would be more likely to win? Explain your answer.
(b)Is the outcome of this race certain? / a)Based on past performances it would seem that Ian is more likely to win this race.
b)The outcome to any sporting event is not certain. / 2
4 / A battery manufacturer tests batteries and finds that 940 out of 1000 will last over 100 hours. If Andrea buys a set of batteries, describe the chance that the batteries will last more than 100 hours. / It is very probable that the set of batteries will last for more than 100 hours. / 2
5 / List the sample space for each of the following probability experiments.
(a)Tossing a coin
(b)Rolling a die
(c)The days on which a baby may be born / (a)S = {Heads, Tails}
(b)S = {1, 2, 3, 4, 5, 6}
(c)S = {Sun, Mon, Tue, Wed, Thu, Fri, Sat} / 3
6 / For each of the following probability experiments state the number of favourable outcomes.
(a)Rolling a die and needing to roll a number greater than 4.
(b)Choosing a club from a standard deck of cards.
(c)Not choosing a red ball from a bag containing 5 red balls, 2 blue balls and 9 green balls. / (a)2
(b)13
(c)11 / 3
7 / Find the probability of each of the following.
(a)Tossing a coin and it showing heads.
(b)Rolling a die and the 1 showing uppermost.
(c)Selecting an ace from a standard deck. / (a)P(heads) =
(b)P(rolling a 1) =
(c)P(selecting an ace) = / 3
8 / David goes to an 8-year-old birthday party for his friend Nick. When David is leaving, Nick’s Mum gives him a lolly bag containing 8 ‘Sherbies’, 6 ‘Teeth’ and 3 ‘Chocolate Eclairs’. If David selects a lolly at random, find the probability that the lolly chosen is:
(a)a Sherby
(b)a Chocolate Eclair
(c)not a set of Teeth. / (a)P(Sherby) =
(b)P(Chocolate Eclair) =
(c)P(not Teeth) = / 3
9 / The digits 2, 4, 8 and 9 are written on cards and used to form a four-digit number. Find the probability that the number formed is:
(a)8942
(b)even
(c)less than 4000. / (a)P(8942) =
(b)P(even) =
(c)P(less than 4000) = / 3
10 / There are 200 tickets sold in a small raffle. Katie buys 3 tickets and there are 2 prizes.
(a)Find the probability that Katie wins first prize.
(b)If Katie wins first prize find the probability that Katie then also wins second prize.
(c)If Katie did not win first prize find the probability that she wins second prize. / (a)P(wins first prize) =
(b)P(also wins second prize) =
(c)P(wins second if didn’t win first) = / 3