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slavikrds [6]
3 years ago
5

3. Dean has these cans of soup in his kitchen cabinet: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. Dean will randomly choos

e one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of beef soup both times? *
Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

2/20 or 0.1

Step-by-step explanation:

So we are given this data:

<em>Tomato = 2</em>

<em>Chicken = 3</em>

<em>Cheese = 2</em>

<em>Potato = 2</em>

<em>Beef = 1</em>

Total Chances (Sum Of All)

Total = 10

Beef is 1

To get beef soup one time it would be 1/10

what about 2 times

we can just multiply by 2*

so 1  / 10 * 2 = 2 / 20 or 0.1

The Answer would be 2/20 or 0.1

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<u></u>

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Explanation:

The table that shows the results and the question (taken from similar question) are:

<em>Number Showing       Frequency</em>

<em>on Top Face</em>

<em>      1                                     0</em>

<em>     2                                     3</em>

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<em>     5                                     3</em>

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<em />

<em>Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?​ </em>

<h2 /><h2>Solution</h2><h2 />

The frequencies of each event recorded for a particular experience are named<em> experimental probabilities</em> and, in general, differ from the theoretical probabilities.

Experimental probabilities, for instance, when compared with the theoretical probabilities, may show a bias, like a loaded (unfair) die.

<em>The experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face </em>is equal to the number of times the die showed a 5 or a 6 on the top face (the frequencies) divided by the number of times the experiment was performed:

  • Frequency of 5 on top face: 3
  • Frequency of 6 on top face: 5

                                                     ====

                                                        8

  • Number of times the experiment was performed: 0 + 3 + 3 + 6 + 3 + 5 = 20

Probability = 8 / 20 = 2 / 5 = 0.4 ← answer

<h2 />

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