What is the decimal multiplier to decrease by 25%?

0.75

Step-by-step explanation:

A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.

1. Option A. {htt, tht, tth, ttt}

2. Option B. {hht, hth, thh}

Step-by-step explanation:

1. S = {hhh, hht, hth, htt, thh, tht, tth, ttt}.

A: At least one tail means one tail and above. This is illustrated below:

A = {hht, hth, htt, thh, tht, tth, ttt}

B: more tails than heads is observed means the tails must be more than the heads. This is illustrated below:

B = {htt, tht, tth, ttt}

A ∩ B: This simply means elements common to both A and B. This is illustrated below:

A ∩ B = {htt, tht, tth, ttt}

2. S = {hhh, hht, hth, htt, thh, tht, tth, ttt}.

A: At least one tail means one tail and above. This is illustrated below:

A = {hht, hth, htt, thh, tht, tth, ttt}

B: more tails than heads is observed means the tails must be more than the heads. This is illustrated below:

B = {htt, tht, tth, ttt}

Bc: This is the set of elements found in the universal set but not found in the set B

Bc = { hhh, hht, hth, thh}

AnBc: means elements common to both set. This is illustrated below:

AnBc = {hht, hth, thh}