Probability Pre-test

 

Part A Use the tally data below, calculate the probability for each colour. Express the answers in fraction, decimal and percent

 

Part B Mini Kwok takes out the following cards from a bag. There are only seven cards inside the bag

 

 

 

- if one card is drawn randomly, what is the probability of picking a vowel card?

 

- if one card is drawn randomly, what is the probability of picking a consonant card?

 

During virtual class, Mini Kwok is bored out of his mind. He draws 750 cards out of the same bag. The card is put back after he records the letters.

 

- approximately, how many vowel cards will he get out of the 750 cards? Justify your answers.

 

 

 

 

Part C In Nunavut, each car license plate has five numbers and one letter.

Calculate how many plates can be issued. Show your work.

 

 

______, ______, _____, ______, ______, ______

Part D Theoretical Probability

 

The probability that the Starbucks coffee is cold is 1/9 and the probability that Starbucks run out of sugar is 1/12.

 

List the four possible combinations in the two situations above

- cold coffee and no sugar

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-

-

 

Then calculate the probability for each case (express answers in fraction) . Add up the probability of the four cases

 

 

 

Part E Coin Toss

When five coins are tossed, list the six possible combinations. Remember, order is not important (that means HHHTT – THTHH  – THHHT will be considered as the same)

 

 

 

 

What is the chance of getting five tails? Show your calculations

 

 

What is the chance of getting three heads and two head? Is it easier to get five tails or 3H2T?  Explain your reasons.

 

 

 

 

 

 

Part F Letters, words and factorials

 

Consider the word “PENCILS”.  There are seven different letters that make up this word. If all the letters are scrambled, how many combinations are there? Express your answers in fractional and expand the numbers

 

 

 

Consider the word “ENCYCLOPEDIA”.  There are twelve letters that make up this word. If all the letters are scrambled, how many combinations are there?  Express your answers in fractional equation only. No need to expand the numbers

 

Part G Playing cards

 

If we don’t count the jokers, how many playing cards are there in a deck?

 

- what are the four suits? What suits are red? black?

 

 

- what is the probability of picking a “King” from the deck?

 

 

- what is the probability of picking an even card? (note: A, J, Q, K are neither even nor odd)

 

 

 

- in this question, when a card is drawn, it will NOT be put back to the deck. 

What is the chance of picking 7 – 7 – 7 when three cards are drawn? Justify your answer

 

 

 

 

Part H Lottery

 

What is the probability of winning the PICK 4 in the Ontario lottery system?

 

 

 

What two things you should tell Ms. Lam not to waste her money playing lottery?