Correct Answers...

1.If I toss a fair coin 3 times and get 3 heads in a row, on the next toss will I be most likely to get heads or tails?
neither are more likely

2.Why do you need to roll a 6 to start in many games?
Just convention - it is no less likely than any other number


3.Which of these two sets of numbers is most likely to win the lottery?

A) 1 2 3 4 5 6 b) 4 16 20 29 34 45 they are equally likely

4.If I roll a pair of dice which of the following am I more likely to get?

A) a 3 and a 4 b) two 4s a 3 and a 4

5.When tossing a fair coin are you more likely to get at least 2 heads when you toss it 3 times or to get at least 200 heads when you toss it 300 times?2 out of 3

6. In a gameshow there are 12 balls marked 1 through 12.
In the first round the contestant picks 3 numbers and then 3 balls are drawn randomly from the 12.
In the second round the contestant picks 9 numbers, the balls from round one are replaced and then 9 balls are drawn randomly from the 12.
Is the contestant more likely to match the numbers in the first round or the second round?
equal chance in either round

7.I have 2 black marbles and 2 white marbles in a bag. I take out marbles without looking. The first marble I pick out is white. I pick out a second marble, what colour is it most likely to be?

black

8.I have 2 black marbles and 2 white marbles in a bag. I pick out a marble and put it aside without looking at it. I then pick out a second marble and see that it is white. What colour is the first marble most likely to be?

black

9.The probability of Jenny and Aadi passing on a genetic condition to their child is 25%. If they have 2 children what is the probability that at least one of the children will have the condition?
43.75%

10.Another couple have 4 boys. Is their next child more likely to be a boy or a girl?

equal chance of either

11.At the end of a game Simon needs to roll a 6 to win and Caoimhe needs to roll a 3. Is this fair?
yes

I don't have time to write all the explanations now (as I late for my aerobics class) but if anyone has any questions i'll be on amhd later and will answer them then...

Thanks for your help :-0