J. result is odd, you roll the 6-sided die next, otherwise you rol the 4-sided d

Question

J. result is odd, you roll the 6-sided die next, otherwise you rol the 4-sided die. What is the proba ued, b-sided, and 12-sided dice. You roll the 12-sided die first that the sum of rolls is even? Cards in a standard deck of playing cards are marked with one each of: if the 13 different face values (A,2,3,4,5,6,7,8,9, 10, J,Q, K) . 4 different suits (4,9,4,O). Hen the deck consists of 52 cards. Suppose the deck is well-shuffled ce What is the probability that the first four cards dealt have the same face value? so as to be randomized. a. b. What is the probability that the first four cards dealt have the same suit? What is the probability that the first four cards dealt are in sequentially increasing numeric or c. For example, 20, 30, 4V, 5. Assume A

Explanation / Answer

6)

a)
1* 3/51* 2/50* 1/49
=6/(51*50*49)

select any first card ,hence p= 1
next there are 3 remaining cards with same face value out of 51 ,hence p = 3/51
similaryl 2/50 and 1/49

b)
1 * 12/51*11/50*10/49

similar to a) part .here there are 13 cars of same suit

c)
13C4 * 4^4 / 52C4

note that total number of ways = 52C4
we can select 4 face values by 13C4
and we can select each card from 4 different suits hence 4^4

there is unique arrangement of increasing order if card are different hence 1

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