77 R 027 Noles O Ask Your T Two dice, one green and one yellow, are rolled. Find

Question

77 R 027 Noles O Ask Your T Two dice, one green and one yellow, are rolled. Find the conditional probability. (Enter your probability as a fraction.) The sum is 8, given that the green one is not 5 and the yellow one is s. Say whether the indicated pair of events is independent. O The events are dependent. ® The events are independent. Two dice, one green and one yellow, are rolled. Find the conditional probability The sum is 10, given that the green one is either 1 or 4 and the yellow one is 1. Say whether the indicated pair of events is independent. ® The events are dependent O The events are independent. 18. -2 points WaneFM7 7 R031 Two dice, one green and one yellow, are rolled. Find the conditional probability. (Enter your probability as a fraction.) The dice have the same parity, given that both of them are odd. Say whether the indicated pair of events is independent. O The events are independent. 0 The events are dependent.

Explanation / Answer

16)P(sum is 8|green one not 5 and yellow 5)=P(green 3 and yellow 5)/P(green one not 5 and yellow 5)

=(1/36)/(5/36)=1/5

the events are dependent

17)

P(sum 10|green is 1 or 4 and yellow one is 1) =0 (as sum can not be 10 if yellow is 1 cause for that green should be 9)

18)

P(dice have same parity|both are odd)=(3/36)/(18/36)=3/18=1/6

events are independent

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