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Alenkasestr [34]
3 years ago
6

In an experiment, a ball is drawn from an urn containing 12 purple balls and 13 green balls. If the ball is purple, two coins ar

e tossed. Otherwise three coins are tossed. How many elements of the sample space will have a purple ball? How many elements of the sample space are there altogether?
Mathematics
1 answer:
UNO [17]3 years ago
5 0

Answer:

4 elements of the sample space will have a purple ball

There are 10 elements altogether

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25

Probability (a ball drawn is purple) = 12/25

If a purple ball is drawn, two coins are tossed

1 coin has 2 elements

2 coins have 2×2 = 4 elements

Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25

If a ball drawn is not purple, three coins are tossed

1 coin has 2 elements

3 coins have 3×2 = 6 elements

Total elements = 4 + 6= 10 elements

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4 0
3 years ago
Read 2 more answers
If P = 2l + 2w, the formula to find w is .<br> If P is 30 units and l is 10 units, w is units.
Helen [10]

Answer:

<u>If P is 30 units and l is 10 units, w is 5 units</u>

Step-by-step explanation:

1. Let's check the information given to resolve the question:

P = 2l + 2w

If P is 30 units and l is 10 units, w is units

2. Replacing with the values:

P = 2l + 2w

30 = 2 (10) + 2w

30 = 20 + 2w

-2w = 20 -30 (Subtracting 2w and - 30 to both sides)

-2w = - 10

2w = 10 (Multiplying by - 1 at both sides)

<u>w = 5 (Dividing by 2 at both sides)</u>

<u>If P is 30 units and l is 10 units, w is 5 units</u>

<u>Note: Same answer than question 13938258</u>

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3 years ago
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