There are 4 blue balls, 2 red balls, and 5 green balls in a bag. James removes one ball and does not replace it. James removes a second ball. What is the probability that both balls will be the same colour.

Total number of balls = 4 + 2 + 5 = 11 (this is our denominator for first draw)Numerator is the number of each colour. When we remove a ball the denominator and numerator for that colour decrease by 1. P(2 blue) = (4/11)(3/10) = (12/110), P(2 red) = (2/11)(1/10) = (2/110), P(2 green) = (5/11)(4/11) = (20/110)To find the total probability of picking two of the same colour we add these probabilities together then simplify.Total probability = 12/110 + 2/110 + 20/110 = 34/110 = 17/55

CW
Answered by Caleb W. Maths tutor

4007 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A trader buys 6 watches at £25 each. He scratches one of them, so he sells that one for £11. He sells the other 5 for £38 each. Find his profit as a percentage.


Find the inverse function of f(x) = 5 / (x - 4)


I struggle with simultaneous equations, when you have a quadratic involved


How do you find the gradient of a straight line?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning