The probability of event A is 0.4. The probability of event B is 0.3. The probability of event A U B is 0.5. What is the probability of event An B?
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- If we are getting a probability of a certain event, which of the following are possible answers? A. 0.98 B. 0.65 C. -1/2 D. 100%A coin is flipped 8 times in a row (assume all outcomes are equally likely). For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. Q1.1 What is the probability that it lands on heads exactly four times?A group of 15 students made up of 9 females and 6 males form a committee of 5 What is the probability the committee is made up of 3 females and 2 males?
- Question 4: The ongoing Covid pandemic in the word has scared the authorities at Hazrat Shahjalal International Airport in Dhaka and they have asked the CSE department of BRACU to design a system that would help them to decide what to do with people coming in from African countries that are at risk. The Airport authorities has approved the following specifications for the system: Input (4 variables) F = 1 indicates the passenger HAS FEVER. H = 0 indicates the passenger DOES NOT HAVE a SEVERE HEADACHE. M = 1 indicates the passenger HAS MUSCLE PAIN. A = 0 indicates the passenger DOES NOT HAVE ABDONIMAL (STOMACH) PAIN. Output (3 variables)A fair coin is flipped 3 times. What is the probability that the flips follow the exact sequence below? Flip One: Heads Flip Two: Heads Flip Three: Tails ⅛ ⅜ ⅓ ⅔ ½If the probability of an event is 62%, what is the probability of its complement?
- EXERCISE - You go to a market to pick out some gourds to decorate your house for Halloween. The market has a special October deal where you get 3 randomly chosen gourdss for $10. Each gourd can either be an orange pumpkin, a green pumpkin or a squash. The probabilities for picking each one of them are: P(orange pumpkin) = 0.6, P(green pumpkin) = 0.3, and P(squash) = 0.1. A: What is the probability that the first gourd is an orange pumpkin, the second is a green pumpkin, and the third is a squash? B: What is the probability that you get all 3 as orange pumpkins? C: What is the probability that you get no squashes? D: What is the probability that you get at least one orange pumpkin? (ANSWERE USING PYTHON)The chaper is Probability.There are 4 balls in a jar (2 black and 2 white). You randomly choose three balls (one by one with no replacement) and paint them according to one of the following methods (a-c) and replace them in the jar. You ask your friend to pick a ball. What is the probability that this ball is white? a. You paint them all black. b. You paint them all the same color as the first ball that is picked c. You look at the majority color (among the 3 selected ones) and paint them all that color. Write a MATLAB code to simulate each of the above 3 cases in MATLAB for 10,000 times and estimate the probability of getting a white ball in each of those cases
- A coin is flipped 10 times in a row. a. What is the probability that it lands heads up exactly 8 times? b. What is the probability that it lands heads up at least 8 times? c. What is the probability that it lands heads up at most 8 timesBased on a detailed medical examination, a doctor declares that the odds of a patient developing a certain disease are 2. From this it follows that the probability the patient will develop the disease is: O 1/4 O 1/2 3/4 O 1/3 2/3There are 7 balls hidden in a box (3 blue and 4 green). If you first select a green ball and do not replace in the box, what is the probability that the second ball you select from the box will also be green? [Your answer can be written either as a fraction or decimal]