AshleyMae678idn
Answered

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1) A pair of dice is tossed. Find the probability that the total on the two dice is not 8?
2) A card is drawn from a well shuffled deck of 52 cards. What is the probability that a card drawn is a face card?
3) If two balls are drawn in succession with replacement. What is the probability that both are green?

Sagot :

JuniorZxidn

✏️ANSWER

[tex] 1)\frac{7}{12} [/tex]

[tex]2) \frac{3}{13} [/tex]

[tex]3) \frac{1}{4} [/tex]

✏️SOLUTION

all posible outcome are shown in table below.

➣1➣➣2➣➣3➣➣4➣➣➣5➣➣6➣

1 (1, 1) (1, 2) (1, 3) (1, 4) (,1, 5) (1, 6)

2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

5 (5, 1) (5, 2) (5, 3) (5,4) (5, 5) (,5, 6)

6 (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

all posible events: 6×6

two dice is not 8 events: 6+5+4+3+2+1

[tex]p1 = \frac{5 + 4 + 3 + 2 + 1}{6 \times 6} [/tex]

[tex]p1 = \frac{21}{6 \times 6} = \frac{21}{36} [/tex]

[tex] p1= \frac{7}{12} [/tex]

{SIMPLIFIED CALCULATION}

__________________________

2) {Poker in face poker a total of 12}

[tex]p2 = \frac{12}{52} [/tex]

[tex]p2 = \frac{3}{13} [/tex]

{IT PROBABILITY DEFINITION}

_________________________

3) All events are shown in below

(green, green)

(green, red)

(red, green)

(red, red)

[tex]p3 = \frac{1}{4} [/tex]

{BY PROBABILITY DEFINITION}

ImSoLuckyidn

[tex] 1)\frac{7}{12} [/tex]

[tex]2) \frac{3}{13} [/tex]

[tex]3) \frac{1}{4} [/tex]