I have a test tomorrow and I didn’t study cuz I have no friends this would help....
1 answer:
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Answer:
0.45% probability that they are both queens.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes
The combinations formula is important in this problem:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.
The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So
Total outcomes
Combinations of 2 from a set of 52(number of playing cards). So
What is the probability that they are both queens?
0.45% probability that they are both queens.
Answer:
4.39% theoretical probability of this happening
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Theoretically, a fair coin
Equally as likely to land on heads or tails, so
10 coins:
This means that
What is the theoretical probability of this happening?
This is P(X = 2).
4.39% theoretical probability of this happening