In two rolls of a fair dice, let event A be the event that no fours, fives or sixes are rolled. Then P(A) is
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Q: P(CIA)= P(C'JA')= (Simplify your answer.) (Simplify your answer)
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A: Given A card is drawn from a pack of 52 cards so that each card is equally to be selected.
In two rolls of a fair dice, let
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- B. A box contains 6 red balls 4 blue balls Draw two cards in a row If the draw is with return, what is the probability that 1. The two balls are blue 2. The two balls are of different coloursA hand consists of 44 cards from a well-shuffled deck of 52 cards. a. Find the total number of possible 44-card poker hands. b. A blackblack flush is a 44-card hand consisting of all blackblack cards. Find the number of possible blackblack flushes. c. Find the probability of being dealt a blackblack flush.In a game, if after tossing a coin the outcome is head, you have to toss it again. If the outcome is tail, then you have to throw a die. What is the probability that a die shows a number greater than 4 given that there is at least 1 tail?
- An experiment consists of rolling a fair die twice. Let A be the event that in the second roll the die lands 1, 2, or 5; B be the event that in the second roll the die lands 4, 5, or 6; and C be the event that the sum of the two outcomes from the two rolls is 9. Please choose the correct answer:3. Two coins are tossed 700 times, and the results are Two heads: 205 times One head: 325 times No head: 170 times Find the probability of each event to occur? 4. If P(A)-7/13, P(B)-9/13 and P(ANB)-4/13, evaluate P(A/B)? 5. Two dice are rolled, find the probability that the sum of the number of both the dice is: A.Equal to 2 B.Equal to 5 C.Less than 12 6. Let X be the number of Tell in four tosses of a fair coin a) Construct the Probability mass function (pf) of X. b) Find the mean number of Tell and the variance c) Find P(0 2. (i)Determine the corresponding p.d.f. (f(x)). (ii) Determine the constant c. 8. If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value 9.Find the probability of getting at least 5 times head-on tossing an unbiased coin for 6 times by using the binomial distribution4 Suppose two dice are rolled together. What is the probability that the two numbers showing up are different? O 1/6 O 5/6 1/3 35/36
- Suppose you roll 2 six-sided dice and sum the faces that show. Let A bethe event that the sum is less than or equal to 5, B be the event that the sum is even,and C be the event that the sum is greater than or equal to 8. Compute P(B | A) andP(C | A).1. Rennin has a pair of dice and he throws them on the table then, what is the probability that the sum of the numbers appears is 6?4) You roll a 6-sided die and flip a coin. What is the probability you either roll an even number or flip a heads? P(A) + P(B) -P(A and B) = P(A or B)
