If a die is thrown and a card is selected at random from a deck of playing cards, than the probability of getting an even number on the die and a spade card is
A. `1/2`
B. `1/4`
C. `1/8`
D. `3/4`
Let `E_(1)`=Event for getting an even number on the die
and `E_(2)`=Event that a spade card is selected
`thereforeP(E_(1))=3/6=1/2andP(E_(2))=13/52=1/4`
Then, `P(E_(1)capE_(2))=P(E_(1))cdotP(E_(2))=1/2cdot1/4=1/8`
Correct option is: D) \(\frac 3{25}\)
Total number of outcomes = 50.
Number which is divisible by 8 from 1 to 50 are (8, 16, 24, 32, 40, 48)
\(\therefore\) Favourable outcomes = 6.
\(\therefore\) Required probability = \(\frac...
Correct option is: A)\(\frac{1}{26}\)
There are 2 red king cards (King of heart and king of diamond) in the deck of 52 cards.
\(\therefore\) Probability of getting a red king card is
P = \(\frac {Total\,...
Correct option is: C)\(\frac 3{25}\)
Total No which are divisible by 8 from 1 to 50 is 6.
\(\therefore\) Probability that drawn card is divisible by 8 = \(\frac 6{50}\) = \(\frac 3{25}\)
Correct Answer - `11//50`
Let `A_(1)` be the event that missing card is spade and `A_(2)` be event that missing card is non-spade. Then,
`P(A_(1))=1/4,P(A_(2))=3/4`
Let A be the event that...
Correct Answer - D
According to the givn condition,
`""^(n)C_(3)((1)/(2))^(n)=""^(n)C_(4)((1)/(2))^(n),`
where n is the number of times die is thrown.
`therefore""^(n)C_(3)=""^(n)C_(4)impliesn=7`
Thus, the required probability is
`=""^(7)C_(1)((1)/(2))^(7)=(7)/(2^(7))=(7)/(128)`
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