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Week 2 CAPT Problem - 10th Grade
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The Dart Booth |
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Week 2 CAPT Problem - 10th Grade
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The Dart Booth |
Use the Information below to answer questions 1-4.
The dart board below is used at a local carnival. The player gets 3 darts
for $1.
All 3 darts must be used, and all 3 must hit a numbered square to
count.
A square may be hit more than once but if a dart does not hit a
numbered square, it must be thrown again.
The player wins a prize if the
sum for the darts is less than or equal to (sum £5), or
greater than or equal to 15 (sum ³15).
Carnival Dart Board
| 6 | 3 | 4 | 1 | 5 | 2 |
| 4 | 5 | 3 | 2 | 3 | 6 |
| 1 | 4 | 2 | 4 | 1 | 4 |
| 3 | 6 | 3 | 5 | 2 | 4 |
| 2 | 4 | 4 | 3 | 3 | 1 |
| 5 | 1 | 3 | 6 | 4 | 3 |
1. Michelle's first dart was thrown without
aiming and hit a numbered square. What is the probability (expressed as a
decimal) that the square she hit was a "4"?
2. Each of
Carla's first two darts hit a "6". To the nearest hundredth, what is the
probability (expressed as a decimal) that her third dart would hit a square that
would make her a winner?
3. Each of Sarah's first two
darts hit a "2". To the nearest whole percent, what is the percent of numbered
squares she could hit on her 3rd throw and win a prize?
4. Harold's first dart was a "3" and his second dart hit
a "4". What is the probability that his final dart will hit a number that
produces a winning sum?