A private grassland has an area of 2/5km squared. The owner of the garden buys an extra of 1/3km squared of land from the neighb
1 answer:
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Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Answer:
a) No, because you have only 33.8% of chances of winning the bet.
b) No, because you have only 44.7% of chances of winning the bet.
Step-by-step explanation:
a) Of the total amount of cards (n=52 cards) there are 12 face cards (3 face cards: Jack, Queen, or King for everyone of the 4 suits: clubs, diamonds, hearts and spades).
The probabiility of losing this bet is the sum of:
- The probability of having a face card in the first turn
- The probability of having a face card in the second turn, having a non-face card in the first turn.
- The probability of having a face card in the third turn, having a non-face card in the previous turns.
- The probability of having a face card in the fourth turn, having a non-face card in the previous turns.
<u><em>1) The probability of having a face card in the first turn</em></u>
In this case, the chances are 12 in 52:
<u><em>2) The probability of having a face card in the second turn, having a non-face card in the first turn.</em></u>
In this case, first we have to get a non-face card (there are 40 in the dech of 52), and then, with the rest of the cards (there are 51 left now), getting a face card:
<u><em>3) The probability of having a face card in the third turn, having a non-face card in the first and second turn.</em></u>
In this case, first we have to get two consecutive non-face card, and then, with the rest of the cards, getting a face card:
<u><em>4) The probability of having a face card in the fourth turn, having a non-face card in the previous turns.</em></u>
In this case, first we have to get three consecutive non-face card, and then, with the rest of the cards, getting a face card:
With these four probabilities we can calculate the probability of losing this bet:
The probability of losing is 66.2%, which is the same as saying you have (1-0.662)=0.338 or 33.8% of winning chances. Losing is more probable than winning, so you should not take the bet.
b) If the bet involves 3 cards, the only difference with a) is that there is no probability of getting the face card in the fourth turn.
We can calculate the probability of losing as the sum of the first probabilities already calculated:
There is 55.3% of losing (or 44.7% of winning), so it is still not convenient to bet.