Question

Trevor tosses a coin then rolls a die

Answer 1

The probability of tossing heads and not rolling 5 is 31/32.

Let us assume a coin is fair and 2-sided.

A coin usually flips heads or tails.

Then to flip heads or tails equals  1/2

​ Consider flipping a coin 5 times.

Since a coin flip has two outcomes, then a coin flip 5 times has 2

5 =32 outcomes.

We may show the outcomes, e.g. use sample space S.

Then (1)S=(H,H,H,H,H),(H,H,H,H,T),…,(T,H,H,H,H),(T,T,T,T,T)

It must follow ∣S∣=32.

A helpful way to see may be S=H, T 5=H, Tx…Hx, T.

What is the formula for probability?

P(S)=1-P(A)

If you see the complement of at least 1 tail means 0 tails or 5 heads, then we must surely see 1 outcome, e.g. all heads.

Then it must follow at least one tail that has 31 outcomes,e.g.32–1=31.

To find or compute the probability, then fevorable possible in outcomes.

It means 31/32,

P(E)=1– 32/1= 32/31

​To learn more about the probability visit:

brainly.com/question/24756209

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