PROBABILITY 1.What is the probability of 1.1getting heads when you throw a coin? 1.2throwing a 1 on a dice? HEADS TAILS 2 1 123456 6 1.

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Presentation transcript:

PROBABILITY 1.What is the probability of 1.1getting heads when you throw a coin? 1.2throwing a 1 on a dice? HEADS TAILS

2.If I have 7 balloons at a party,4 redand 3 yellow,and a blindfolded person has to pop one, what is the probability that it will be a red one?

3.If there are 10 balloons at another party, 4 red,3 yellow what are the chances that a red one will be popped first? and 3 green,

4.At the heart, a box of smarties breaks open and 12 smarties fall on the floor, (2 red,3 green,4 purple,3 yellow). Mr Loubser is happy to eat off the floor, so he grabs for a smartie (as do a couple of other people who are also happy to eat off the floor). What is the probability that the first one that is picked up is (i)red? (ii)purple? 12 24

5.I have 7 Chinese checkers. Now for the PROBABILITY TREE: 4 redand 3 blue in a box. a.If I take one out, what is the probability of it being red? RB 4/73/7 b.If I take two out, what is the probability of BOTH being red? RB 3/6 3/6 x 4/7 =12/42 =2/7 c.If I take two out, what is the probability of one red and one blue? One red : Two red : 3/6 x 4/7 =12/42 =2/7 First red then blue : RB 4/62/6 The complete tree looks like: RB 3/6 x 4/7 12/42 RR 3/6 x 4/7 12/42 BR BR 4/6 x 3/7 12/42 BB 2/6 x 3/7 6/ / /6 x 3/7 =12/42 =2/7 or first blue then red : Can be:first red then blueor first blue then red Probability =2/7 + 2/7 = 4/7

5/10 6.There is a lucky draw, based on the colour of the ticket you draw out of a box (Of course, the box is see through when you draw it. You get R50 if you draw a yellow ticket and R100 if you draw a green one). In the box are 6 yellow ticketsand 5 green tickets. 6.1If you are allowed to take only 1 ticket, what is the probability of you drawing a green ticket? YG 6/115/11 YG 6/104/10 6.2If you are allowed to take only two tickets from the box, what is the probability: (NB draw a tree diagram) a.of drawing 2 green tickets? 4/10 x 5/11 =20/110 =2/11 Two green : b.of drawing 1 yellow and 1 green ticket? 5/10 x 6/11 = 30/110 =3/11 Yellow then green : YG 5/10 5/11 5/10 x 6/11 30/110 YY 5/10 x 6/11 30/110 6/10 x 5/11 30/110 4/10 x 5/11 20/110 The complete tree looks like: YGYG GYGYGG 6/10 x 5/11 = 30/110 =3/11 Or green then yellow : One green : Can be:first yellow then greenor first green then yellow Probability =3/11 + 3/11 = 6/11

7.There are 9 buttons in a box. 3 red, 4 white and 2 blue. Draw a tree diagram to determine the following: a.What is the probability of taking a white button? b.If you are allowed to take 2 buttons, what is the probability of their both being white? R W 3/9 WR 3/8 x 4/9 12/72 B R W B B R W 4/9 2/9 2/8 4/8 2/8 W 3/8 B 2/8 R 3/8 1/8 WW 3/8 x 4/9 12/72 WB 2/8 x 4/9 8/72 BR 3/8 x 2/9 6/72 BB 1/8 x 2/9 2/72 BW 4/8 x 2/9 8/72 4/8 RR 2/8 x 3/9 6/72 RW 4/8 x 3/9 12/72 RB 2/8 x 3/9 6/72 3/8 c.If you are allowed to take 2 buttons, what is the probability of their being 2 different colours?

8.There are 12 cards in a pack, 4 jacks, 4 queens and 4 kings. a.If you pick a card, what is the probability of picking a queen? b.If you pick a second card, what is the probability of their both being queens? (Do a tree diagram) 4/11 J Q 4/12 QJ 4/11 x 4/12 16/132 K J Q K K J Q 4/12 3/11 4/11 Q 3/11 KJ 4/11 3/11 QQ 3/11 x 4/12 12/132 QK 4/7 x 4/12 16/132 KK 3/11 x 4/12 12/132 KQ 4/11 x 4/12 16/132 KJ 4/11 x 4/12 16/132 4/11 JJ 3/11 x 4/12 12/132 JQ 4/11 x 4/12 16/132 JK 4/11 x 4/12 16/132 4/11