Question #2846c

1 Answer
MattyMatty
Dec 5, 2017

#4/11 " "# (Answer B)

Explanation:

#P[ <= 8 " eyes" | "1 or 2 dice has 6 eyes" ] * P[ "1 or 2 dice has 6 eyes" ]#
= #P[ <= 8 " eyes " AND " 1 or 2 dice has 6 eyes" ]#
= #4/36#

( (6,2), (2,6), (6,1) and (1,6) are the four possible outcomes )

#=> P[ <= 8 " eyes" | "1 or 2 dice has 6 eyes" ]#
= #(4/36) / "P[ 1 or 2 dice has 6 eyes]"#

( P[A or B] = P[A] + P[B]- P[A AND B])

= #(4/36) / (1/6 + 1/6 - 1/36)#
= #(4/36) / (11/36)#

= #4/11#

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