There are 12 outcomes. The coin can land on either heads or tails, and then you can extract any number from 1 to 6 from the box. So, the outcomes are
- Heads, 1
- Heads, 2
- Heads, 3
- Heads, 4
- Heads, 5
- Heads, 6
- Tails, 1
- Tails, 2
- Tails, 3
- Tails, 4
- Tails, 5
- Tails, 6
Answer:
3 times
Step-by-step explanation:
The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.
Answer:
3/8 was the swimming segment!
Step-by-step explanation:
We only need to subtract the bike and running segment from the total distance:
15 11/16 - 12 1/4 - 3 1/16
15.6875 - 12.25 - 3.0625 = 0.375 = 3/8
Answer: 2.77
The expected value is positive, so you expect to gain on average $2.77 per draw.
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Explanation:
Define two events
W = winning = getting a card 4 or less
L = losing = getting 5 or higher
P(W) = probability of winning
P(W) = 12/52 since there are 12 cards that are four or less out of 52
P(W) = 3/13 for any suit of 13, there are 3 cards that are four or less
P(L) = 1-P(W)
P(L) = 1-3/13
P(L) = 13/13 - 3/13
P(L) = 10/13
V(W) = net value of winning
V(W) = 162
V(L) = net value of losing
V(L) = -45
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E(X) = expected value
E(X) = P(W)*V(W) + P(L)*V(L)
E(X) = (3/13)*162 + (10/13)*(-45)
E(X) = 36/13
E(X) = 2.76923076923077
E(X) = 2.77 rounding to two decimal places (to the nearest cent)
This game is in favor to the player since we got a positive expected value. A fair game would occur if the expected value was 0.
