7/8 is a answer of this question
Using the binomial distribution, it is found that:
The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 20 questions, hence
.
- Each question has 2 options, one of which is correct, hence

The probability is:

In which:







Then:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
Answer:
0.64
Step-by-step explanation:
P(J / R) = P (J and R) / P(R)
0.8 = P (J and R) / 0.6
P (J and R) = 0.6 * 0.8 = 0.48 [Probability John practicing and it is raining]
P(J / NR) = P (J and NR) / P(NR)
0.4 = P (J and NR) / (1 - 0.6) = P (J and NR) / 0.4
P (J and NR) = 0.4 * 0.4 = 0.16 [Probability John practicing and it is not raining]
Hence;
Probability of John practicing regardless of weather condition is
P(John Practicing) = 0.48 + 0.16 = 0.64
HOPE THIS HELPED!!!