Question 2

2.1 Consider rolling two dice once. Calculate the probability of the...

2.1.1 rolling a sum of 5 or an even sum(3)

2.1.2 rolling a sum of 7 or 6(3)

2.1.3 rolling a sum of 10 or an odd sum(3)

2.2 Six (6) women, 4 men, 3 boys and 7 girls enter a competition. They each have an equally likely chance of winning. What is the probability that the winner will be...

2.2.1 female?(3)

2.2.2 a child?(3)

2.2.3 a man?(3)

2.3 A basket contains 12 black marbles, 14 red marbles and 12 green marbles. What is the probability of picking a black marble first and then a red marble with replacement?(3)

2.4 A bag contains 4 green, 3 black and 6 orange cards. A card is drawn from the bag and kept, and then another card is drawn. Find the probability that

2.4.1 both cards will be orange(3)

2.4.2 both cards will be black(3)

2.4.3 the first card will be orange and the second will be black(3)

2.4.4 neither will be orange(3)

2.5 A box has 3 netball and 6 volleyball cards. What is the probability of selecting...

2.5.1 a netball card, keeping it out, and then selecting another netball card?(3)

2.5.2 a netball card, keeping it out, and then selecting a volleyball card?(3)

[39][TOTAL:70]

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