Question

The list below shows all of the possible outcomes for flipping four coins.

HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
What is the probability of at least two coins landing on heads?
5/16
3/8
11/16
1/2

Answer 1

Based on the given information, it should be 11/16.

Answer 2

The correct option is 3.

Explanation:

If four coins are flipping, then the total possible outcomes are

S = {HHHH, HHHT, HHTH, HHTT ,HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} = 16

At least two coins landing on heads, it means 2 or more coins landing on heads.

A = {HHHH, HHHT, HHTH, HHTT ,HTHH, HTHT, HTTH , THHH, THHT, THTH, TTHH} = 11.

The probability of at least two coins landing on heads is

`Probability=\frac{\text{Possible outcomes of at least two coins landing on heads }}{\text{Total possible outcomes}}`

`Probability=(11)/(16)`

Therefore the correct option is 3.