The probability that Yuri will make a free throw is 0.3. The probability that he will make two consecutive free throws is ______
1 answer:
Answer:
1. 0.09
2. 0.21
3. 0.49
Step-by-step explanation:
If the probability that Yuri will make a free throw is 0.3, then the probability that Yuri will not make a free throw is 1-0.3=0.7.
1. The probability that Yuri will make two consecutive free throws is
2. The probability that he will make the first and not the second in two free throws is
3. The probability that he will make neither of the two free throws is
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Given:
The expression is:
To find:
The value of the given expression.
Solution:
We have,
It can be written as:
Therefore, the value of the given expression is 0.000008.
Consider the system of inequalities
1. Plot all lines that are determined by equalities (see attached diagram)
2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
- for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
- for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
