Question

to each of the following experiments, write the sample space in the
number of sample points in(s)l events E, and E, using set form, n)
11) Two coins are tossed simultaneously.
(1) E, is the event of not getting a head.
(ii) E, is the event of getting at the most one tall.
(2) Two-digit numbers, using the digits 5. 6. 7. are formed withou
repeating the digits.
(1) E, is the event that the number is divisible by 3.
(2) E, is the event that the number is a prime numbe
(3) A card is drawn at random from a pack of
cards.
(i) E, is the event that the card drawn is a sp
(ii) E, is the event that the card drawn is not a
red. 3 white and 3 green balls, of the sa​

Answer 1

Answer:

1. (i) E = {TT}           (ii) E = {HH, HT, TH}

2. (i) E = {57, 75}    (ii) E = {67}

3. (i) E = {All 13 black spades}    (ii) E = {13 black spades, 13 black clubs}

Step-by-step explanation:

1) Two coins are tossed.

S = {HH, HT, TH, TT}

(i) E = The event of not getting a head

E = {TT}

(ii) E = The event of getting at most one tail

⇒ Getting tail either zero times or once.

E = {HH, HT, TH}

2) Two digit numbers are formed using 5, 6, 7 without repeating the digits.

S = {56, 57, 65, 67, 75, 76}

(i) E = The number is divisible by 3

E = {57, 75}

(ii) E = The number is a prime number

E = {67}

3) A card is drawn from the pack of 52 cards.

S = {13 black spades, 13 black clubs, 13 red hearts, 13 red diamonds}

(i) E = Drawn card is a spade

E = {All 13 black spades}

(ii) E = The card drawn is not a red

E = {13 black spades, 13 black clubs}

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