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<h2 class="hd hd-2 unit-title">Class 12 reading questions: probabilistic prediction</h2>
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<p><b class="bf">1.</b> We'll continue the reading example of 3 types of coins. </p>
<p>
Assume as in the reading that:<br/>Type A has probability 0.5 of heads.<br/>Type B has probability 0.6 of heads.<br/>Type C has probability 0.9 of heads.<br/></p>
<p>
A drawer contains 2 coins of type A and 1 each of types B and C. We reach in to the drawer and pick a coin at random. Suppose we toss it twice and both tosses land heads. What is the posterior predictive probability of heads on the third toss? </p>
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<h2 class="hd hd-2 unit-title">Bayesian updating: odds</h2>
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<h2 class="hd hd-2 unit-title">Class 12 reading questions: odds</h2>
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<p><b class="bf">1.</b> Suppose an event [mathjaxinline]A[/mathjaxinline] has probability [mathjaxinline]P(A) = 0.4[/mathjaxinline]. What are the odds of the event [mathjaxinline]A[/mathjaxinline]? </p>
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<p><b class="bf">2.</b> Assume we have 3 events [mathjaxinline]A, B, C[/mathjaxinline] with respective probabilities 0.3, 0.6, 0.1. </p>
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