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How would I solve these questions? 1. 5-bits, A = 2 consec O's, B = 1st is 0, p(B) = ? A string of O's

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5-bits, A = 2 consec O's, B = 1st is 0, p(B) = ? A string of O's and 1's of length 5 is generated randomly, with each string being equally likely. Let A be the event that the string contains two (or more) consecutive O's. Let B be the event that the first bit of the string is O. If the probability of B is 35 , what is the value of x? (Enter your answer as a single integer only--no words.) Numeric ResponseProbability 4th toss is Heads given first three are Tails You flip a coin 4 times. Let A be the event that the 4th toss comes up Heads, and let B be the event that the first three tosses all come up Tails. What is P(A | B) ? \fProbability that die is even given that prime is showing You roll a fair die one time. Let k= the number that shows up on top. Let A be the event that k is even. Let B be the event that k is prime (remember, 1 is not prime); What is P(A | B) ?

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