Hiki has a biased dice.
The probability that the dice will land on a 6 is 0.2.
Hiki is going to roll the dice 5 times.
Work out the probability that the dice will land on a 6 exactly 3 times.
Give your answer correct to 3 decimal places.
You may use (p+q)5=p5+5p4q+10p3q2+10p2q3+5pq4+q5(p + q)^5 = p^5 + 5p^4q + 10p^3q^2 + 10p^2q^3 + 5pq^4 + q^5(p+q)5=p5+5p4q+10p3q2+10p2q3+5pq4+q5.
Work out the probability that the dice will land on a 6 at least once.
Give your answer correct to 3 decimal places.
Practise AQA GCSE Statistics The Binomial Distribution with exam-style questions for Foundation and Higher tier. 4 questions, matched to the AQA GCSE Statistics (8382) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.