<p>Bernard is carrying out an experiment with a fair tetrahedral die, which has its four triangular faces numbered from '\(6\)' to '\(9\)', and a biased \(10\)-sided die numbered from '\(1\)' to '\(10\)'.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Bernard rolls the fair die \(9\) times. Find the probability that the die shows a '\(8\)' between \(3\) and \(7\) times, inclusive.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Bernard now rolls the fair die \(65\) times. Find the probability that the die shows a '\(9\)' more than \(12\) times.</span></div></li></ol>
<p>The probability that the biased die shows a '\(9\)' is \(\frac{1}{25}\).</p>
<ol class="i-list" start="3"><li><div class="list-item-content"><span class="list-item-text">Bernard rolls the biased die \(65\) times. Find the probability that the biased die shows a '\(9\)' more than \(5\) times.</span></div></li></ol>

Bernard is carrying out an experiment with a fair tetrahedral die, which has its four triangular faces numbered from '\(6\)' to '\(9\)', and a biased \(10\)-sided die numbered from '\(1\)' to '\(10\)'.

Bernard rolls the fair die \(9\) times. Find the probability that the die shows a '\(8\)' between \(3\) and \(7\) times, inclusive.

Bernard now rolls the fair die \(65\) times. Find the probability that the die shows a '\(9\)' more than \(12\) times.

The probability that the biased die shows a '\(9\)' is \(\frac{1}{25}\).

Bernard rolls the biased die \(65\) times. Find the probability that the biased die shows a '\(9\)' more than \(5\) times.

2015 IJC P2 Q7 [Modified]

2015 IJC P2 Q7 [Modified]