1.A coin is flipped five times, and the resulting sequence of heads and tails is recorded. How many such sequences are possible?
2. Two cards are choosen in order from a deck. In how many ways can this be done if
(a) the first card must be a spade and the second must be a heart?
(b) both crads must be spades
2007-02-12 06:43:10 · 3 answers · asked by nisha 1 in Education & Reference ➔ Homework Help
Each event has two outcomes. If you drew a diagrm for each outcome you would have 2 branches, doing this 5 times you would end up with 32 possible paths (2^5 = 32).
Choosing a spade from the deck provides an option for one of 13 possibilities. The second card being a heart, their is again 1 in 13 possibilities. Thus there are 13*13 =169 ways.
If the second card must be a spade, then you only have 12 options for the second card and thus 13*12 = 156 ways.
2007-02-12 06:58:39 · answer #1 · answered by Math Guy 4 · 0⤊ 0⤋
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2007-02-12 07:00:23 · answer #2 · answered by msknums 1 · 0⤊ 0⤋
The first one is 25
2a. is the product of 13x13
2b is the product of 13x12
2007-02-12 06:48:09 · answer #3 · answered by meils121 2 · 0⤊ 0⤋