Tom tosses a coin. Every toss lands on either heads or tails. The coin lands on heads two thirds of the first 24 games. The coin then lands on heads the next 6 games. For all 30 tosses, work out the ratio heads:tails. Give the answer in the simplest form.

For the first 24 games, heads = 24 x (2/3) = 16. For the next 6 games, heads = 6. Total number of heads = 22. 30 - 22 = 8 therefore tales = 8. Therefore, ratio = 22:8 = 11:4, heads:tales.

SP

Related Maths GCSE answers

All answers ▸

Find the roots of the equation (x^2+5x+4)/(x^2-3x+2)


A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.


There are "n" sweets in a bag, six are orange and the rest are yellow. If you take a random sweet from the bag and eat it. Then take at random another one and eat it. The probability of eating two orange sweets is 1/3. Show that n²-n-90=0.


A ship is 180 kilometres away from a port P on a bearing of 63 degrees. Another ship is 245 kilometres away from port P on a bearing of 146 degrees. Calculate the distance between the two ships.