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9. A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
9. A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
9. Let us denote the red and white balls by R and W. We are to draw one ball and then another ball without replacement. So, the desired sample space is
S = {RW, WR, WW}
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8. An experiment consists of recording boy–girl composition of families with 2 children.
What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
What is the sample space if we are interested in the number of girls in the family?
8. An experiment consists of recording boy–girl composition of families with 2 children.
What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
What is the sample space if we are interested in the number of girls in the family?
8. Let us denote boys and girls by B and G.
(i) The desired sample space whether a boy or girl are the children according to their birth.
S = {BB, BG, GB, GG}
(ii) A family of two children can be two girls, one girl or no girl. So, the desired sample space is S = {0, 1, 2}
Upvote 7. One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.
7. One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.
7. One rolling a dice we have the possible outcome 1, 2, 3, 4, 5 and 6. Let us denote R, W and B as red, white and blue respectively. So, the desired sample space is
S = { (R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (W, 1), (W, 2), (W, 3), (W, 4), (W, 5), (W, 6), (B, 1), (B, 2),
Upvote 6. 2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.
6. 2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.
6. Let us denote B1, B2 to be the boys and G1, G2 to be the girls in Room X and B3 to be the boy and G3, G4, G5 to the girls in Room Y. Hence the desired sample space is
S = { (X, B1), (X, B2), (X, G1), (X, G2), (Y, B3), (Y, G3), (Y, G4), (Y, G5)}
Upvote 5. A coin is tossed and then a die is rolled only in case a head is shown on the coin.
5. A coin is tossed and then a die is rolled only in case a head is shown on the coin.
5. When a coin is tossed we have the outcomes of a head or a tail and when a dieice is rolled we have the outcome 1, 2, 3, 4, 5 or 6. So, the desired sample space is
S = {T, (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}
Upvote 4. The possible outcomes of throwing a coin and rolling a dice are Head and tail and 1, 2, 3, 4, 5 and 6 respective. So, the desired sample space is
S = { (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}
Upvote 3. On tossing a coin the possible outcomes are Head and Tail. The sample space of tossing a coin four times is
S = {HHHH, THHH, HTHH, HHTH, HHHT, TTTT, HTTT, THTT, TTHT, TTTH, TTHH, HHTT, THTH, HTHT, THHT, HTTH}
Upvote 2. When a dice is thrown, we have 36 the possible outcome.
Dice 2 Dice 1 | 1 | 2 | 3 | 4 | 5 | 6 |
1 | (1, 1) | (1, 2) | (1, 3) | (1, 4) | (1, 5) | (1, 6) |
2 | (2, 1) | (2, 2) | (2, 3) | (2, 4) | (2, 5) | (2, 6) |
3 | (3, 1) | (3, 2) | (3, 3) | (3, 4) | (3, 5) | (3, 6) |
4 | (4, 1) | (4, 2) | (4, 3) | (4, 4) | (4, 5) | (4, 6) |
5 | (5, 1) | (5, 2) | (5, 3) | (5, 4) | (5, 5) | (5, 6) |
6 | (6, 1) | (6, 2) | (6, 3) | (6, 4) | (6, 5) | (6, 6) |
Upvote 1. On tossing a coin the possible outcomes are that of a head or a tail. So, the angle space of tossing a coin three times is
S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
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