Alana is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles by the case to
1 answer:
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Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:
nCx is calculated as:
This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:
P(4)=0.2592
And P(5) is:
P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
Answer:
C.The probabilities are equal.
The above statement is the only TRUE statement.
Step-by-step explanation:
Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}
So, number of total outcomes = 10
Let E : Event of spinner landing on 3
and E' : Even of spinner landing on 4
{Probability of Event E} =
⇒ P( landing on 3 ) = 1/10
and
P( landing on 4 ) = 1/10
Now, the given statements are
A.The probability of landing on 3 is less than probability of landing on 4.
FALSE, as both the probabilities are equal to 1/10.
B.The probability of landing on 3 is greater than probability of landing on 4.
FALSE, as both have same probabilities.
C.The probabilities are equal.
TRUE, both have same probability = 1/10
D.The probabilities cannot be predicted
FALSE, the probability are predictable.