Rolling a Die If a die is rolled one time, find these probabilities. a. Getting

Question

Rolling a Die If a die is rolled one time, find these probabilities. a. Getting a 2 b. Getting a number greater than 6 c. Getting an odd number d. Getting an odd or even number Rolling a Die If a die is rolled one time, find these probabilities: a. Getting a number less than 7 b. Getting a number greater than or equal to 3 c. Getting a number greater than 2 and an even number d. Getting a number less than 1 Rolling Two Dice If two dice are rolled one time, find the probability of getting these results. a. A sum less than 9 b. A sum greater than or equal to 10 c. A 3 on one die are on both dice. Drawing a Card If one card is drawn from a deck, find the probability of getting these results. a. A queen

Explanation / Answer

Sol13:

when a die is rolled total events={1,2.33,4,5,6}=61 =6

13(a)

getting 2=1

probability=1/6

13(b)

it can never be gretare than 6

probaility=0=impossibel event

13(c)

there are 3 odd numbers

1,3,5

so probability=favorble events/total outcomes=3/6=1/2

13(d)

getting an odd or even number

getting even number={2,4,6}=3

probability=3/6=1/2

geiing an odd or even =P(getting odd)+P(getting even)

=1/2+1/2

=1

Solution15:

when 2 dice are rolled total outcomes=62 =36

15(a)

favourable for sum of events=9

({3,6),(6,3),(4,5),(5.4)}=4

(3,6) means getting 3 on first die and 6 on second die

similarly others

the required probability=4/36=1/9

15(b)

sum of 7 or eleven

events for sum of 7 is

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

P(getting 7 on 2 dice )=6/36

events for getting 11 is

(6,5),(5,6)=2

P(getting 11 on 2 dice)=2/36

P(gettiung 7 0r 11 ) is=6/36+2/36=8/36=2/9

Required probability=2/9

15(c)

events for getting doubles

={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}=6

Required P(getting doubles)=6/36=1/6

Solution17

4 queen cards in a deck of 52 cards

P(geting queen)=4c1/52c1=4/52=1/13

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