Modeling the number of transport bus breakdowns in every month to determine if an additional bus should be purchased. The runnin
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Answer:
Step-by-step explanation:
As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.
Number of ways to draw 5 cards =
(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).
(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are .
For each card we can draw from any of the 4 sets. It can be described mathematically as:
Therefore, the total outcomes for drawing straight are:
Thus, the probability of getting a straight hand is: