Alice solves every puzzle with probability 0.6 , and Bob, with probability 0.5 . They are given 7 puzzles and each chooses 5 out
1 answer:
Answer:
0.021943
Step-by-step explanation:
Alice solves every puzzle with a probability of 0.6
Bob solves every puzzle with a probability of 0.5
Number of puzzles given = 7
The probability of a puzzle been solved by either Alice or Bob
P = P( A U B ) = P( A ) + P( B ) - P( A n B )
= 0.6 + 0.5 - ( 0.6 * 0.5 ) = 0.8
probability of all 7 puzzles solved = (P( A ))^2 * ( P )^3 * (p(B))^2
= ( 0.6 )^2 * (0.8)^3 * (0.5)^2 = 0.04608
Finally determine the P ( choosing 5 out of 7 for both such that all the 7 are chosen )
attached below is the remaining part of the solution
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The equation -21t - 4 = 10 - 2t has only one solution
<u>Solution:</u>
Given, equation is – 21t – 4 = 10 – 2t
We have to find how many solutions does the above given equation have
Now, let us solve the given equation to find the number of solutions it has.
Then, - 21t – 4 = 10 – 2t
Taking like terms to one side of the equation we get,
- 21t + 2t = 10 + 4
here we can see only one value of t.
Hence, the given equation has only one solution.
Answer:
Step-by-step explanation:
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Probability of finding oil at site 1 is 0.30
Probability of finding oil at site 2 is 0.15
Probability of finding oil at site 3 is 0.20
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Complement of Finding oil at all three sites is equivalent to not finding the oil at all three sites
i.e.
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