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natta225 [31]
3 years ago
14

If you toss four fair coins, in how many ways can you obtain at least one head? Group of answer choicesA. 1/16B. 1/2C. 3/16D. 11

/16E. 3/8
Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

The correct answer is:

15/16

Step-by-step explanation:

In a toss of four fair coin, there are possibility of 16 occurrence because a coin have an head and a tail (2).

In 4 coins, we will have : 2⁴ = 16

Let S be the sample space, then:

S = { HHHH, HHHT, HHTT, HTTT, TTTH, TTHH, TTTH, TTTT, HTHT, THTH, HHTH, HTHH, TTHT,THHT, HTTH, THTT}

Let E₁ be the event that at least one head appears:

n(E₁) = 15

∴ Pr (E₁) = n(E₁)/ n(S)

             = 15/16

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