A 6 -sided die is rolled. Find P(3 or 5 ).
A) 1/36
B) 1/3
C) 1/6
D) 2
Please explain in detail, it's for practice! 7. A 6-sided die is rolled 3 times. Find the probability ofrolling at least two 6? a. 0.074 b. 0.995 0.004 C. d. 0,028 0.069 e. f 0.931 g. None of the above 7. A 6-sided die is rolled 3 times. Find the probability ofrolling at least two 6? a. 0.074 b. 0.995 0.004 C. d. 0,028 0.069 e. f 0.931 g. None of the above
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
b) Find Var(X) 5. A fair six sided die is rolled 10 times. Let X be the number of times the number '6' is rolled. Find P(X2) B SEIKI
6. A fair six sided die is rolled three times. Find the probability that () all three rolls are either 5 or 6 (6) all three rolls are even (c) no rolls are 5 (d) at least one roll is 5 (e) the first roll is 3, the second roll is 5 and the third roll is even
5. A fair six sided die is rolled 10 times. Let X be the number of times the number '6' is rolled. Find P(X2)
Problem #5: A fair 8-sided die is rolled 101 times. Consider the event A = {the face 2 comes up at most 2 times) (a) Find the normal approximation for P(A) without the continuity correction. (b) Find the normal approximation for P(A) with the continuity correction. (c) Find the Poisson approximation for P(A).
If we roll a red 6-sided die and a green 6-sided die (both are fair dice with the numbers 1-6 equally likely to be rolled), what is the probability that we get (i) A 5 on the green die AND a 3 on the red die? (ii) A 5 on the green die OR a 3 on the red die? (iii) A 5 on the green die GIVEN we rolled a 3 on the red die?
Question 3 (15 pts). A gambler plays a game in which a fair 6-sided die will be rolled. He is allowed to bet on two sets of outcomes: A (1,2,3) and B (2,4,5,6). If he bets on A then he wins $1 if one of the numbers in A is rolled and otherwise he loses $1 -let X be the amount won by betting on A (so P(X-1)-P(X1)If he bets on B then he wins $0.50 if a number in...
3. A fair coin is tossed, and a fair six-sided die is rolled. What is the probability that the coin come up heads and the die will come up 1 or 2? A. 1/2 B. 1/4 C. 1/6 E. 1/3
suppose a single die is rolled find:a) P(6, given that an odd number is rolled)b) P(5, given that ann odd number is rolled)is a) 0 and b) 1/6