**Unformatted text preview: **Suppose you are given a standard 6—sided die and told that the die is “loaded” in such a way that
while the numbers 1, 3, 4, and 6 are equally likely to turn up, the numbers 2 and 5 are three times as likely to turn up as any of the other numbers. 13. The die is rolled once and the number turning up is observed. Use the information given
I above to ﬁll in the following table: (ox :
,1 '54 ,z -x ”Bx K A? 'Kro
Outcome 1 2 3 4 5 6
Probability .1 .3 .i ,l , '3 . l 14. Let A be the event: the number rolled is a prime number (a number is prime if its only factors
are 1 and the number itself; note that 1 is not prime). List the outcomes in A and ﬁnd P(A). A; 67/3/53
@145: ,34‘ .f H3 :6 15. Let B be the event: the number rolled is an even number. List the outcomes in B, and ﬁnd 8: gm; \ 16. Are events A and B disjoint? Explain brieﬂy. r20, 2 75 in both geeky» *koSMeJq/EJL ﬂ-v2' 17. Determine if events A and B are independent. (901.1 8): 7C2) ‘1 3 (DOLLWE) : e7'.S—: .35— ¢ . 3
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