Mathematics, 28.10.2020 17:00 abbygreen
Suppose the weather at Chebyshev Citadel is either sunny or cloudy. A sunny day is followed by a sunny day with probability 0.7, and a cloudy day is followed by a sunny day with probability 0.5. If it is sunny today, what is the probability that it will be sunny 3 days later
Answers: 2
![P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]](/tpl/images/0847/6112/d6467.png)
![P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]](/tpl/images/0847/6112/c0e4f.png)
![P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.](/tpl/images/0847/6112/f920d.png)
![P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.](/tpl/images/0847/6112/f188e.png)
![P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right]](/tpl/images/0847/6112/2efc0.png)
![P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.](/tpl/images/0847/6112/92811.png)
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Suppose the weather at Chebyshev Citadel is either sunny or cloudy. A sunny day is followed by a sun...
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