Answer:
[tex]\mathbf{\dfrac{1}{19600}}[/tex]
Step-by-step explanation:
From the information given:
For 5 cards to be drawn where the first two are 2 spades and 6th of the spade.
Then the cards should be: 2,3,4,5,6 of spade.
Since 2 and 6 are already drawn.
Then;
the 3rd card maybe 3, 4, or 5 of the spade.
Thus, the probability that it is the third card is: 3/50
The probability is the 4th card 2/49 ; &
The probability that it is the fifth card is 1/48
Thus, the probability that a 5-card straight flush is drawn is:
[tex]P(5) = 1 \times 1\times \dfrac{3}{50}\times \dfrac{2}{49} \times \dfrac{1}{48}[/tex]
[tex]P(5) = \dfrac{1}{19,600}[/tex]
