Q If I toss a coin three times what is the modeled probability of throwing...

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Q If I toss a coin three times what is the modeled probability of throwing exactly two heads A To use the formula above we need to know n S and n E So S HHH HHT HTH HTT THH THT TTH TTT so n S 8 E Set of outcomes with two heads HHT HTH THH so n E 3 n E P E n S 8 2 Toss a coin three times Q The probability of rolling alternating heads and tails is Check Clear Hint P E Q The probability of rolling at least one tail is So P E 3 Q If I roll a pair of fair dice what is the probability of rolling a double both dice show the same number A Here we use the distinguishable dice model whose outcomes are equally likely seen above P E n S 36 E 1 1 2 2 3 3 4 4 5 5 6 6 n E n S 36 61 Check Clear Hint 6 4 Randomly choose a person from a class of 30 in which 10 have scarlet hair 5 have green hair 5 have blue hair and 10 have orange Q If E is the event that a randomly selected person in the class has orange hair then Line Clear

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^AORD RIO ANZ WES TLS Date Adj Close Adj Close Adj Close Adj Close Adj Close 31/1/13 5120.4 66.36 19.84806 19.57102 3.212754 28/2/13 4979.9 67.05 19.71675 19.69255 3.255187 31/3/13 5168.6 57.2 22.00425 21.24546 3.594419 30/4/13 4914 55.8 19.03257 19.22232 3.421195 31/5/13 4775.4 55.18 20.2205 19.39867 3.442847 30/6/13 5035.7 52.37 21.05536 19.86891 3.601637 31/7/13 5125.3 57.51 21.00583 19.91794 3.536677 31/8/13 5217.7 58.3 21.77701 20.86289 3.688453 30/9/13 5420.3 61.74 23.94198 21.79624 3.844303 31/10/13 5314.3 63.99 22.56942 21.50087 3.755246 30/11/13 5353.1 66.06 23.43381 22.06193 3.896254 31/12/13 5205.1 68.18 21.90694 21.04004 3.814618 31/1/14 5415.4 65.64 23.36837 21.51595 3.747824 28/2/14 5403 66.84 24.03729 21.20243 3.877173 31/3/14 5470.8 63.55 25.06247 21.98485 3.984024 30/4/14 5473.8 61.7 24.34993 22.31941 4.075611 31/5/14 5382 59.3 24.85111 21.53699 3.976392 30/6/14 5623.1 59.31 25.32071 22.65917 4.190094 31/7/14 5624.6 66.38 24.9182 22.29369 4.24352 31/8/14 5296.8 62.63 23.04729 22.42818 4.153627 30/9/14 5505 59.58 24.97038 23.48155 4.412249 31/10/14 5298.1 60.41 23.79267 21.65335 4.459271 30/11/14 5388.6 59.1 24.61535 21.98998 4.678707 31/12/14 5551.6 58 25.31339 22.9756 5.09407 31/1/15 5898.5 57.56 27.10834 23.1127 4.992188 28/2/15 5861.9 64.41 28.10554 23.80803 5.060349 31/3/15 5773.7 57.23 26.07279 23.67265 4.996192 30/4/15 5774.9 57.15 25.45914 23.64556 4.988173 31/5/15 5451.2 58.2 25.36044 21.13805 4.924016 30/6/15 5681.7 53.75 25.73849 22.99026 5.204701 31/7/15 5222.1 52.86 21.99743 22.02082 4.627292 31/8/15 5058.6 50.29 21.32798 22.10167 4.620785 30/9/15 5288.6 48.6 21.43036 22.20873 4.447815 31/10/15 5218.2 50.65 21.3831 21.46487 4.414868 30/11/15 5344.6 45.91 22.81056 23.44851 4.620785 31/12/15 5056.6 44.71 19.74792 23.76406 4.637259 31/1/16 4947.9 39.13 18.29418 22.02842 4.324265 29/2/16 5151.8 40.28 19.15989 24.12315 4.390159 31/3/16 5316 42.69 19.82142 24.89136 4.549177 30/4/16 5447.8 51.55 20.80963 23.64598 4.744384 31/5/16 5310.4 44.69 20.34638 23.33752 4.718923 30/6/16 5644 45.5 21.79728 24.9845 4.897155 31/7/16 5529.4 49.56 22.69144 24.69935 4.464305 31/8/16 5525.2 47.6 23.30722 26.4623 4.524136 30/9/16 5402.4 51.61 23.49281 24.60811 4.34946 31/10/16 5502.4 54.18 23.96519 25.07016 4.410597 30/11/16 5719.1 57.75 26.40722 25.28618 4.454266 31/12/16 5675 59.9 25.42628 24.15813 4.366928 31/1/17 5761 66.68 26.8239 25.63424 4.209718 28/2/17 5903.8 61.99 27.62254 27.98426 4.069976 31/3/17 5947.6 60.46 28.43854 26.69895 3.808148 30/4/17 5761.3 60.44 24.31513 26.51268 3.970581 31/5/17 5764 62.81 25.59965 24.91076 3.880341 30/6/17 5773.9 63.27 26.41078 25.28949 3.699859 31/7/17 5776.3 65.79 26.20577 26.46303 3.311826 31/8/17 5744.9 67.84 26.38404 26.71963 3.281864 30/9/17 5976.4 66.53 26.66927 27.0235 3.328882 31/10/17 6057.2 69.45 25.3679 28.39412 3.225442 30/11/17 6167.3 70.95 26.31148 28.71733 3.413514 31/12/17 6146.5 75.81 26.165 28.32299 3.451129 31/1/18 6117.3 76.85 26.59529 26.71963 3.150213 28/2/18 5868.9 81.16 24.59034 27.81488 3.017585 31/3/18 6071.6 72.7 24.57203 29.29397 3.056025 30/4/18 6123.5 79.86 24.91077 30.49197 2.69084 31/5/18 6289.7 82.97 26.60997 33.03524 2.517857 30/6/18 6366.2 83.44 27.60878 33.1021 2.72928 31/7/18 6427.8 81.2 27.79724 34.43402 2.979144 31/8/18 6325.5 72.74 26.55343 34.4696 3.139685 30/9/18 5913.3 78.76 24.4333 32.23617 3.03142 31/10/18 5749.3 76.4 25.25308 30.69307 2.883785 30/11/18 5709.4 73.28 23.74844 31.30518 2.805047 31/12/18 5937.3 78.47 24.30186 31.29546 3.060946 31/1/19 6252.7 87.05 27.18546 32.23792 3.080631 28/2/19 6261.7 96.16 25.27276 34.65 3.32 31/3/19 6418.4 97.91 26.40873 36.01 3.38 30/4/19 6491.8 95.37 27.06895 37.05 3.65 31/5/19 6699.2 100.3 28.21 36.16 3.85 Using historical prices of the Australian All Ordinaries Index (AORD) and...