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Answered on 19 Apr Learn Probability
Sadika
In a standard deck of 52 playing cards, there are 2 black queens: the queen of spades and the queen of clubs.
Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck.
Total number of favorable outcomes (black queens): There are 2 black queens in the deck.
Now, let's calculate the probability of drawing a black queen:
Probability=Number of favorable outcomesTotal number of possible outcomes
Answered on 19 Apr Learn Probability
Sadika
To find the probability of getting a black ball, we need to consider the total number of balls in the bag and the number of black balls.
Answered on 19 Apr Learn Probability
Sadika
To find the probability of getting a number less than 3 when a die is thrown once, we need to determine the total number of favorable outcomes (rolling a number less than 3) and divide it by the total number of possible outcomes (rolling any number on the die).
Given:
Total number of possible outcomes: There are 6 possible outcomes when rolling a die.
Number of favorable outcomes (rolling a number less than 3): There are 2 favorable outcomes: rolling a 1 or rolling a 2.
Now, let's calculate the probability of getting a number less than 3:
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Answered on 19 Apr Learn Probability
Sadika
When a standard six-sided die is thrown once, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6.
To find the probability of getting a number greater than 5, we need to determine the number of favorable outcomes (rolling a number greater than 5) and divide it by the total number of possible outcomes (rolling any number on the die).
Given:
Now, let's calculate the probability:
Answered on 19 Apr Learn Probability
Sadika
To find the probability of drawing a card with an even number, we need to determine the total number of even-numbered cards in the bag and divide it by the total number of cards in the bag.
Given:
Answered on 19 Apr Learn Probability
Sadika
To find the probability that two friends born in the year 2000 have the same birthday, we need to consider the total number of days in the year 2000 and the number of ways they could share a birthday.
Given that they were born in the same year:
Total number of days in the year 2000: Since the year 2000 was a leap year, it had 366 days.
Number of ways they could share a birthday: Each friend's birthday can fall on any of the 366 days in the year.
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Answered on 19 Apr Learn Statistics
Sadika
If each observation in a continuous frequency distribution is increased by 5, the median of the new data set will also increase by 5. This is because the median is the middle value of the data set, and adding the same constant to every observation simply shifts the entire data set by that constant.
Answered on 19 Apr Learn Statistics
Sadika
Let's denote:
Given:
Answered on 19 Apr Learn Statistics
Sadika
To show that the mode of the combined series obtained by combining the two series S1 and S2 is different from that of S1 and S2 taken separately, we first need to find the mode of each series individually and then compare it with the mode of the combined series.
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Answered on 19 Apr Learn Statistics
Sadika
To find the median for a frequency distribution, we need to use the relationship between the mean, median, and mode in a symmetrical distribution.
In a symmetrical distribution:
Given that the mode is 7.88 and the mean is 8.32, we can see that they are not equal. This suggests that the distribution is not perfectly symmetrical.
However, we can still estimate the median based on the mode and mean using the following relationship:
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