A fair coin is tossed three times. Let R, S and T be three events such that R:maximum one coin shows tail, S: all coins show Heads, T: at most two coins show Heads. Find O P(RNS) OA. 1/16 OB. None of these OC. 0.87 OD. 3/8 OE. 0.36
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- Answer all and show the steps for eacha.4/15 b.2/10 c.3/10 d.1/15 e.1/10When one die is rolled, the following six outcomes are possible. Six dice are shown, ranging from 1 dot to 6 dots each in increments of 1. List the outcomes constituting A = event the die comes up even, B = event the die comes up 3 or more, C = event the die comes up at most 3, D = event the die comes up 6. What outcomes constitute event A? 3636 (Use a comma to separate answers as needed. Use ascending order.)
- A person tosses a coin twice. Find the set representing the event E that the first toss is tails. Select the correct answer below: {HT, TH} {TT, TH} {TT, TT} {TH, TH}○ Let assume 6 balls, 3 white, 2 black and 1 red. Random experiment is selection of three balls with replacement. R.v. X denoted number of white balls and r.v. Y denotes number of red balls. O P(X=2, Y-2)= 0 O Probability of which events is zero? O P(X=1, Y=2) = Compute joint pmf of X and Y4 Coin tossed at the same time D = Probability when minimum 3 head at the same time E= Probability when maximum 2 tail at the same time Find:
- 4 Coin tossed at the same time D = Probability when minimum 3 head at the same time E= Probability when maximum 2 tail at the same time Find:Find P (U,IR) by referring to the following Venn diagram and using Bayes' formula (assume the simple events in S are equally likely). U1 U2 R. 25 35 15 25 P (U, R) = (Type a decimal. Round to three decimal places if needed.) Le The 400+ Thus, the Step 2 Answer: The probabD. + 10:07 X O 46+ ull 41% Given that S = (1, 2, 3, 4, 6, 8, 9, 10}, the following events are defined. Let event A be that the number taken from S is a prime number. Let event B be that the number taken from S is odd. Let event C be that the number taken from S is a multiple of 2. Which of the following statements is true? A. A and Bare mutually exclusive events. B. A and Care mutually exclusive events. C A and Care mutually exclusive events. D. Band C are mutually exclusive events. 1 2. Find the probability that a number taken from S is a prime number? A. B. D. 1 3. Find the probability that a number taken from Sis odd or is even? A. + B. D. 1 4. Find the probability that a number taken from S is a prime number or is an even number? A. + 8. 5 C. D. 5. Find the probability that a number taken from Sis neither prime nor even? A. + B. D. 6. Find the probability that a number taken from Sis a prime number and is an odd number? A. + 8. C. D. + For ls 7-10 Mrs. Cruz have three daughters in…
- A con is rosbed. If the result is a head, it is to ssed two more times, the mose it is hosbed one more home. what is the mean number of heads obtaimed THW OF E Fsolve d of 4HOMEROO. Othe 8 Share 三 三 E E 8 9 10 11 Leline ating expressions to answer the questions. 3. What is the probability of landing yellow on the spinner and then selecting an L from the letters that spell SCHOOL? WORK SHOWN: !!! lili