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Tanzania [10]
2 years ago
5

Alice solves every puzzle with probability 0.6 , and Bob, with probability 0.5 . They are given 7 puzzles and each chooses 5 out

of the 7 puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the 7 puzzles happen to be solved by at least one of them
Mathematics
1 answer:
olasank [31]2 years ago
6 0

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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2 years ago
What's the probability of pulling two red cards in a row from a deck of cards?​
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Hey there! I'm happy to help!

Let's say that we don't have jokers. In that case, there are 52 cards, and half of them are red (so 26 are red). The probability of pulling a red card once is 1/2 since half the cards are red.

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