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12. A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
12. A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
12. When a coin is thrown we have the possible outcome of a head or a tail. And when a dice is thrown we have the possible outcomes 1, 2, 3, 4, 5 and 6. So, the desired sample space is
S = {T, (H, 1), (H, 2, 1), (H, 2, 2), (H, 2, 3), (H, 2, 4), (H, 2, 5), (H, 2, 6), (H, 3), (H,
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11. Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non – defective(N). Write the sample space of this experiment.
11. Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non – defective(N). Write the sample space of this experiment.
11. Let us denote the non-defective and defective bulbs by 'N' and 'D'. So, that the sample space of selecting 3 bulbs from a lot is.
S = {NNN, NND, NDN, DNN, DDN, NDD, DND, DDD}
Upvote 11. An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
11. An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
11. The possible outcomes when a coin is tossed is a Head or a Tail. And the possible outcomes when a die is rolled is 1, 2, 3, 4, 5 or 6.
By condition, when a head occurs or first toss the coin is tossed again and if a tail occurs on first toss a die is rolled. So, the required sample space is
S
Upvote 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}
Upvote 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}
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