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<blockquote data-quote="AN2" data-source="post: 119854" data-attributes="member: 3556"><p><span style="font-family: 'georgia'"><span style="font-size: 22px"><strong><u>Let's do the math</u></strong></span></span></p><p></p><p>Bearing in mind the two basic principles above. </p><p></p><p>So the probability that the turn comes a queen is easy, right (I think that it's only beyond [USER=353]@Tiger[/USER]), and the same for the river. </p><p></p><p>Instead of turn and river I will use the alternative terms - 4th and 5th street. </p><p></p><p>4th street: 3/45 = 0.067</p><p>5th street: 3/44 = 0.068</p><p></p><p>But notice that the 5th street probability is <em>anding</em> with a queen not coming on 4th street, so to use that figure we can't just add those two probabilities. </p><p></p><p>Remember that the probabilities of happening and not happening add to 1. So the probability of 4th street not coming a queen is the probability of it coming a queen subtracted from 1.</p><p></p><p>So the calculation using the above probabilities is:</p><p></p><p><a href="https://www.google.com/search?q=0.067+%2B+0.068+*+(1+%E2%80%93+0.067)" target="_blank">0.067 + (0.068 * (1 – 0.067)) </a></p><p></p><p>"The probability that 4th street comes a queen or 5th street comes a queen and 4th street didn't."</p><p></p><p>We could also use the probabilities of 4th street and 5th street not coming a queen. </p><p></p><p>4th street: 42/45 = 0.933</p><p>5th street: 41/44 = 0.932</p><p></p><p>And then calculation is:</p><p></p><p><a href="https://www.google.com/search?q=1+-+0.933+*+0.932" target="_blank">1 - (0.933 * 0.932)</a></p><p></p><p>"The probability that 4th street and 5th street don't come a queen subtracted from 1."</p><p></p><p>You can click on the calculations above (they're links) and see that they're precisely the same number. </p><p></p><p>0.13, or 13%</p></blockquote><p></p>
[QUOTE="AN2, post: 119854, member: 3556"] [FONT=georgia][SIZE=6][B][U]Let's do the math[/U][/B][/SIZE][/FONT] Bearing in mind the two basic principles above. So the probability that the turn comes a queen is easy, right (I think that it's only beyond [USER=353]@Tiger[/USER]), and the same for the river. Instead of turn and river I will use the alternative terms - 4th and 5th street. 4th street: 3/45 = 0.067 5th street: 3/44 = 0.068 But notice that the 5th street probability is [I]anding[/I] with a queen not coming on 4th street, so to use that figure we can't just add those two probabilities. Remember that the probabilities of happening and not happening add to 1. So the probability of 4th street not coming a queen is the probability of it coming a queen subtracted from 1. So the calculation using the above probabilities is: [URL='https://www.google.com/search?q=0.067+%2B+0.068+*+(1+%E2%80%93+0.067)']0.067 + (0.068 * (1 – 0.067)) [/URL] "The probability that 4th street comes a queen or 5th street comes a queen and 4th street didn't." We could also use the probabilities of 4th street and 5th street not coming a queen. 4th street: 42/45 = 0.933 5th street: 41/44 = 0.932 And then calculation is: [URL='https://www.google.com/search?q=1+-+0.933+*+0.932']1 - (0.933 * 0.932)[/URL] "The probability that 4th street and 5th street don't come a queen subtracted from 1." You can click on the calculations above (they're links) and see that they're precisely the same number. 0.13, or 13% [/QUOTE]
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