Let A= rolling 2 on pair of fair dice and B = getting 1 heads on...
Let A= rolling 2 on pair of fair dice and B = getting 1 heads on 3 rolls of a fair coin. Assuming the rolls of the dice are independent of the coin tosses, what is Prob (A AND B)? (round to 4 decimals)
Homework Answers
Ans:
P(A)=(1/6)*(1/6)=1/36
P(B)=3C1*0.5*(1-0.5)^2=0.375
As,A and B are independent.
P(A and B)=P(A) *P(B)(1/36)*0.375=0.0104
11 Suppose that we are rolling a pair of fair dice till getting a sum of...
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I NEED HELP ASAP. THANK YOU Consider rolling a fair die thrice and tossing a fair...
I NEED HELP ASAP. THANK YOU
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Example Consider the following dice game. A pair of standard ( fair ) dice are repeatedly...
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11 Suppose that we are rolling a pair of fair dice till getting a sum of 4 or less. Let X be a random variable representing the number of rolls that we need to make. Calculate P(X> 3) a) 0.5787 b) 0.6944 c) 0.0046 3) None of these
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
I NEED HELP ASAP. THANK YOU
Consider rolling a fair die thrice and tossing a fair coin sixteen times. Assume that all the tosses and rolls are independent. and the chance that the total The chance that the total number of heads in all the coin tosses equals 12 is (Q3) number of spots showing in all the die rolls equals 12 is (Q4) The number of heads in all the tosses of the coin plus the total number of...
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