Question

Write the indicated event in set notation.When four coins are tossed, the first three tosses come up the same.[Hint: when four coins are tossed, the following 16 outcomes are possible:HHHH HHHT HHTH HHTTHTHH HTHT HTTH HTTTTHHH THHT THTH THTTTTHH TTHT TTTH TTTT ]a. (HHH, TTT) b. (HHHT, TTTH) c. (HHHT, TTTH, HTTT, THHH) d. (HHHH, HHHT, TTTH, TTTT)

Answer 1

`Outcomes = \{HHHH, HHHT,TTTH, TTTT\}`

Explanation:

Given

`S = \{HHHH, HHHT, HHTH, HHTT,HTHH, HTHT, HTTH, HTTT, THHH, THHT,`

`THTH, THTT,TTHH, TTHT, TTTH, TTTT\}`

Required

The outcomes where the first three tosses are the same

To do this, we list out the outcomes that the first three are HHH or TTT.

So, we have:

`Outcomes = \{HHHH, HHHT,TTTH, TTTT\}`