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8 pens in a bag, 3 blue, 5 red. 2 taken out at random, without replacement. Probability they are the same colour?

Either both blue or both red. 'OR' rule - add probabilities.Blue - first blue and second blue - 'AND' rule - multiply probabilities. 3/8 x 2/7 (as not replaced) = 6/56 = 3/28 (multiply top and bottom)Red ...

Answered by Amy S. • Maths tutor

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Solve: a) 5t + 17 = 2. b) x^3 - 25 = 103 - x^3.

a) 5t + 17 = 2. We want to work out what t is. t = ?.To do this we need to get t on it's own, so first we move all the other numbers to equal t.We do this by subtr...

Answered by James A. • Maths tutor

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Factorise the Quadratic: 3x^2 + 2x - 1.

When we are asked to factorise a quadratic we essentially need to tidy it up by putting it into brackets.For a quadratic we look to work out the sum and the product, however this time it's a bit different...

Answered by James A. • Maths tutor

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Where do the lines 2y = 4x + 2 and - 3x + y = 4 intersect?

Rearrange the second equation in the form y = mx + c to get y = 3x + 4. Divide the first equation by 2 to get y = 2x + 1. When the lines intersect, they'll have the same x and y values, hence, set the equ...

Answered by Emma J. • Maths tutor

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There is a spinner game at a fair. The spinner is numbered with all even numbers from 2 to 12. Each section is equal in size. Dan has numbers 4 and 10. What is the probability that he wins a prize? Give your answer as a fraction in its simplest form.

The even numbers from 2 to 12: 2, 4, 6, 8, 10, 12That means there are 6 numbers on the spinner If Dan has 4 and 10 and all the portions are the same, the chances of landing on 4 or 10 is 2/6Simplifying th...

Answered by Katherine B. • Maths tutor

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