21) The number of oil spills occurring off the Alaskan coast
A) Discrete B) Continuous
Find the odds.
22) When a single card is drawn from an ordinary 52-card deck, find the odds in favor of getting a red 10 or a black 6.
A) 2: 25 B) 1 : 13 C) 1 : 25 D) 1 : 12
23) If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 0.01, what are the odds against a direct hit?
A) 98: 1 B) 99 : 1 C) 100 : 1 D) 1 : 100
Solve the problem.
24) The odds in favor of a storm are 4 to 1. What is the probability that a storm will occur?
A) 4 B) C) D)
Find the odds.
25) Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the odds in favor of drawing two queens?
A) 1 : 220 B) 220 : 1 C) 1 : 168 D) 1 : 221
Please type your subject in the School Subject box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well.
21.A
22.B
23.B
24.A
25.D
24.D
22. number of red tens = 2
number of black 6's = 2
number of your event = 4
prob (red10 or black 6) = 4/52
prob (NOT(red10 or black6)) = 48/52
odds in favour of (red10 or black6) = (4/52) / (48/52)
= 4/48
= 1 : 12
which is D
24. odds in favour of storm = 4 : 1
so prob of storm is 4/5
25.
prob of QQ = (4/52)(3/51) = 1/221
prob not QQ = 220/221
odds in favour of QQ = (1/221) / (220/221)
= 1 : 220
which is A
continuous
21) To determine whether the number of oil spills occurring off the Alaskan coast is discrete or continuous, we need to consider the nature of the variable. If the variable can only take on whole numbers (e.g., 0, 1, 2, 3, ...), then it is discrete. If the variable can take on any value within a range (e.g., 0.5, 1.2, 2.7, ...), then it is continuous.
In this case, the number of oil spills can only be counted in whole numbers. Therefore, it is a discrete variable.
22) To find the odds in favor of getting a red 10 or a black 6 when drawing a single card from a 52-card deck, we need to determine the number of favorable outcomes and the number of possible outcomes.
There are 2 red 10 cards and 2 black 6 cards in a deck of 52 cards. So, the number of favorable outcomes is 2 + 2 = 4.
The total number of possible outcomes is 52 (since there are 52 cards in the deck).
The odds in favor can be calculated by dividing the number of favorable outcomes by the number of unfavorable outcomes. Therefore, the odds in favor are 4:48, which simplifies to 1:12.
So, the answer is D) 1:12.
23) To find the odds against a direct hit by a hurricane on a certain stretch of beach, we need to subtract the probability of a direct hit from 1 (since the odds against an event are complementary to the odds in favor).
The probability of a direct hit is given as 0.01. Subtracting this value from 1 gives us 1 - 0.01 = 0.99.
Now, we can express the odds against a direct hit as a ratio of unfavorable outcomes to favorable outcomes. In this case, the ratio is 99:1, since there are 99 unfavorable outcomes (no direct hit) for each favorable outcome (direct hit).
Therefore, the answer is B) 99:1.
24) To find the probability that a storm will occur given the odds in favor of 4 to 1, we need to convert the odds to a ratio of favorable outcomes to total outcomes.
The odds in favor of 4 to 1 mean that there are 4 favorable outcomes for each 1 unfavorable outcome. So, the ratio of favorable outcomes to total outcomes (favorable + unfavorable) is 4:5.
To find the probability, we divide the number of favorable outcomes by the total number of outcomes. In this case, the probability is 4 / (4 + 1) = 4/5 = 0.8.
Therefore, the answer is B) 0.8.
25) To find the odds in favor of drawing two queens when two cards are drawn without replacement from a 52-card deck, we need to determine the number of favorable outcomes and the number of possible outcomes.
There are 4 queens in a deck of 52 cards. When the first queen is drawn, there are 3 queens remaining in the deck. Therefore, the number of favorable outcomes is 4 * 3 = 12.
The total number of possible outcomes is calculated by multiplying the number of cards remaining in the deck after each draw. So, there are 52 cards initially, then 51 cards after the first draw. The total number of possible outcomes is 52 * 51 = 2652.
The odds in favor can be calculated by dividing the number of favorable outcomes by the number of unfavorable outcomes (total outcomes - favorable outcomes). So, the odds in favor are 12:2640, which simplifies to 1:220.
Therefore, the answer is A) 1:220.