Who can solve these 3 questions, there are not hard?

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Yzguna

Mathematics

Core Math 101

Cui

Description

solve the questions and make sure it's right

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Explanation & Answer

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Question 1
What is the probability that if you roll two six-sided die and toss three coins at the same time, we
will get at least one head on a coin and no pairs on the dice?
Solution.
𝑷𝒓(𝒂𝒕 𝒍𝒆𝒂𝒔𝒕 𝒐𝒏𝒆 𝒉𝒆𝒂𝒅 𝒂𝒏𝒅 𝒏𝒐 π’‘π’‚π’Šπ’“π’” 𝒐𝒏 π’…π’Šπ’†) is:
= 𝑷𝒓(𝒂𝒕 𝒍𝒆𝒂𝒔𝒕 𝒐𝒏𝒆 𝒉𝒆𝒂𝒅 𝒐𝒏 πŸ‘ π’„π’π’Šπ’π’”) Γ— 𝑷𝒓(𝒏𝒐 π’‘π’‚π’Šπ’“ 𝒐𝒏 π’…π’Šπ’†)

For the three coins (𝐢1 , 𝐢2 π‘Žπ‘›π‘‘ 𝐢3 ), all the possible outcomes are:
C1 C2 C3 β†’ HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
∴ Pr(at least 3 heads) =

number of outcome with one or more heads
7
=
total number of outcomes
8

For the two six-sided die, there are a possible of 36 different outcomes. Since we do not want a
pair on the die, six of the outcomes, (1, 1), (2, 2), (3, 3), (4, 4), (5, ...


Anonymous
Really helpful material, saved me a great deal of time.

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