Aman rolled 11 fair distinguishable dice. What is the probability that the product of the numbers on the top face is composite
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Answer:
11/11=1
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Answer:
probability that the product of the number on the top face is composite is = 1 - 11/3× (1/6)^10 - (1/6)^11
Step-by-step explanation:
P (Product being composite) = 1 – P (Product being composite) – P(product being 1)
Exactly 1 dice must have a composite face on the top, and the other 10 must have 1’s. The composite dice can show 4 or 6
probability of a composite no on a dice face is = 2/6 =1/3
so, P( product being composite ) = 11C1 × (1/3)^1 ×(1/6)^10
= 11/3 × (1/6)^10
also, P ( product being 1) = (1/6)^11
therefore the required probability is = 1 - 11/3× (1/6)^10 - (1/6)^11
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