Aflush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). complete parts (a) and (b) to obtain the probability of being dealt a flush in five cards. (a) initially concentrate on one suit, say spades. there are 13 spades in a deck. compute p(five spades)equalsp(first card is spades and second card is spades and third card is spades and fourth card is spades and fifth card is spades). p(five spades)equals nothing

The probability is 0.000495

Step-by-step explanation:

As per the question:

Total no. of cards in a deck = 52

No. of spades in a deck = 13

Now, we have to select 5 cards in a deck such that they belong to the same suit, i.e., spades.

The no. of ways of selecting 5 cards from a deck =

The no. of ways of selecting 5 cards from 13 spade cards =

Now,

Probability that the selected 5 cards are all spades, P(E)  =

P(E)  =

P(E)  =

P(E)  =

P(E)  =

v v cj van config k tbs eng r.c r.c fcb fb gb frfr

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363